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Finding the Third Proportional to 63,494 and 93,278

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Solution

The third proportional to 63,494 and 93,278 is: 137,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,494 : 93,278 = 93,278 : x
  2. Step 2: Convert to fraction form
    63,494/93,278 = 93,278/x
  3. Step 3: Cross multiply
    63,494x = 93,278 × 93,278
  4. Step 4: Simplify right side
    63,494x = 8,700,785,284
  5. Step 5: Solve for x
    x = 8,700,785,284/63,494
  6. Step 6: Final answer
    x = 137,033.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.