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Finding the Third Proportional to 50,092 and 77,459

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Solution

The third proportional to 50,092 and 77,459 is: 119,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,092 : 77,459 = 77,459 : x
  2. Step 2: Convert to fraction form
    50,092/77,459 = 77,459/x
  3. Step 3: Cross multiply
    50,092x = 77,459 × 77,459
  4. Step 4: Simplify right side
    50,092x = 5,999,896,681
  5. Step 5: Solve for x
    x = 5,999,896,681/50,092
  6. Step 6: Final answer
    x = 119,777.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.