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Finding the Third Proportional to 49,099.50 and 77,871

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Solution

The third proportional to 49,099.50 and 77,871 is: 123,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099.50 : 77,871 = 77,871 : x
  2. Step 2: Convert to fraction form
    49,099.50/77,871 = 77,871/x
  3. Step 3: Cross multiply
    49,099.50x = 77,871 × 77,871
  4. Step 4: Simplify right side
    49,099.50x = 6,063,892,641
  5. Step 5: Solve for x
    x = 6,063,892,641/49,099.50
  6. Step 6: Final answer
    x = 123,502.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.