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Finding the Third Proportional to 115,726.50 and 180,356.06

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Solution

The third proportional to 115,726.50 and 180,356.06 is: 281,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726.50 : 180,356.06 = 180,356.06 : x
  2. Step 2: Convert to fraction form
    115,726.50/180,356.06 = 180,356.06/x
  3. Step 3: Cross multiply
    115,726.50x = 180,356.06 × 180,356.06
  4. Step 4: Simplify right side
    115,726.50x = 32,528,309,280.50
  5. Step 5: Solve for x
    x = 32,528,309,280.50/115,726.50
  6. Step 6: Final answer
    x = 281,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.