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Finding the Third Proportional to 49,363 and 78,418

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Solution

The third proportional to 49,363 and 78,418 is: 124,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,363 : 78,418 = 78,418 : x
  2. Step 2: Convert to fraction form
    49,363/78,418 = 78,418/x
  3. Step 3: Cross multiply
    49,363x = 78,418 × 78,418
  4. Step 4: Simplify right side
    49,363x = 6,149,382,724
  5. Step 5: Solve for x
    x = 6,149,382,724/49,363
  6. Step 6: Final answer
    x = 124,574.74

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