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Finding the Third Proportional to 63,136 and 139,394

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Solution

The third proportional to 63,136 and 139,394 is: 307,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,136 : 139,394 = 139,394 : x
  2. Step 2: Convert to fraction form
    63,136/139,394 = 139,394/x
  3. Step 3: Cross multiply
    63,136x = 139,394 × 139,394
  4. Step 4: Simplify right side
    63,136x = 19,430,687,236
  5. Step 5: Solve for x
    x = 19,430,687,236/63,136
  6. Step 6: Final answer
    x = 307,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.