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Finding the Third Proportional to 63,534.75 and 138,136.13

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Solution

The third proportional to 63,534.75 and 138,136.13 is: 300,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,534.75 : 138,136.13 = 138,136.13 : x
  2. Step 2: Convert to fraction form
    63,534.75/138,136.13 = 138,136.13/x
  3. Step 3: Cross multiply
    63,534.75x = 138,136.13 × 138,136.13
  4. Step 4: Simplify right side
    63,534.75x = 19,081,589,030.02
  5. Step 5: Solve for x
    x = 19,081,589,030.02/63,534.75
  6. Step 6: Final answer
    x = 300,333.11

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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.