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Finding the Third Proportional to 63,430.59 and 137,927.18

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Solution

The third proportional to 63,430.59 and 137,927.18 is: 299,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,430.59 : 137,927.18 = 137,927.18 : x
  2. Step 2: Convert to fraction form
    63,430.59/137,927.18 = 137,927.18/x
  3. Step 3: Cross multiply
    63,430.59x = 137,927.18 × 137,927.18
  4. Step 4: Simplify right side
    63,430.59x = 19,023,906,896.55
  5. Step 5: Solve for x
    x = 19,023,906,896.55/63,430.59
  6. Step 6: Final answer
    x = 299,916.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.