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Finding the Third Proportional to 105,726.75 and 154,621.13

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Solution

The third proportional to 105,726.75 and 154,621.13 is: 226,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.75 : 154,621.13 = 154,621.13 : x
  2. Step 2: Convert to fraction form
    105,726.75/154,621.13 = 154,621.13/x
  3. Step 3: Cross multiply
    105,726.75x = 154,621.13 × 154,621.13
  4. Step 4: Simplify right side
    105,726.75x = 23,907,692,296.27
  5. Step 5: Solve for x
    x = 23,907,692,296.27/105,726.75
  6. Step 6: Final answer
    x = 226,127.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.