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Finding the Third Proportional to 63,277 and 93,943

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Solution

The third proportional to 63,277 and 93,943 is: 139,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,277 : 93,943 = 93,943 : x
  2. Step 2: Convert to fraction form
    63,277/93,943 = 93,943/x
  3. Step 3: Cross multiply
    63,277x = 93,943 × 93,943
  4. Step 4: Simplify right side
    63,277x = 8,825,287,249
  5. Step 5: Solve for x
    x = 8,825,287,249/63,277
  6. Step 6: Final answer
    x = 139,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.