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Finding the Third Proportional to 96,466.13 and 137,605.13

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Solution

The third proportional to 96,466.13 and 137,605.13 is: 196,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,466.13 : 137,605.13 = 137,605.13 : x
  2. Step 2: Convert to fraction form
    96,466.13/137,605.13 = 137,605.13/x
  3. Step 3: Cross multiply
    96,466.13x = 137,605.13 × 137,605.13
  4. Step 4: Simplify right side
    96,466.13x = 18,935,170,426.27
  5. Step 5: Solve for x
    x = 18,935,170,426.27/96,466.13
  6. Step 6: Final answer
    x = 196,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.