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Finding the Third Proportional to 63,946.13 and 100,312.31

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Solution

The third proportional to 63,946.13 and 100,312.31 is: 157,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,946.13 : 100,312.31 = 100,312.31 : x
  2. Step 2: Convert to fraction form
    63,946.13/100,312.31 = 100,312.31/x
  3. Step 3: Cross multiply
    63,946.13x = 100,312.31 × 100,312.31
  4. Step 4: Simplify right side
    63,946.13x = 10,062,560,039.10
  5. Step 5: Solve for x
    x = 10,062,560,039.10/63,946.13
  6. Step 6: Final answer
    x = 157,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.