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Finding the Third Proportional to 63,092 and 139,306

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Solution

The third proportional to 63,092 and 139,306 is: 307,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,092 : 139,306 = 139,306 : x
  2. Step 2: Convert to fraction form
    63,092/139,306 = 139,306/x
  3. Step 3: Cross multiply
    63,092x = 139,306 × 139,306
  4. Step 4: Simplify right side
    63,092x = 19,406,161,636
  5. Step 5: Solve for x
    x = 19,406,161,636/63,092
  6. Step 6: Final answer
    x = 307,585.14

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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.