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Finding the Third Proportional to 64,246.50 and 138,061.13

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Solution

The third proportional to 64,246.50 and 138,061.13 is: 296,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,246.50 : 138,061.13 = 138,061.13 : x
  2. Step 2: Convert to fraction form
    64,246.50/138,061.13 = 138,061.13/x
  3. Step 3: Cross multiply
    64,246.50x = 138,061.13 × 138,061.13
  4. Step 4: Simplify right side
    64,246.50x = 19,060,874,236.27
  5. Step 5: Solve for x
    x = 19,060,874,236.27/64,246.50
  6. Step 6: Final answer
    x = 296,683.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.