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Finding the Third Proportional to 61,226 and 93,651

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Solution

The third proportional to 61,226 and 93,651 is: 143,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,226 : 93,651 = 93,651 : x
  2. Step 2: Convert to fraction form
    61,226/93,651 = 93,651/x
  3. Step 3: Cross multiply
    61,226x = 93,651 × 93,651
  4. Step 4: Simplify right side
    61,226x = 8,770,509,801
  5. Step 5: Solve for x
    x = 8,770,509,801/61,226
  6. Step 6: Final answer
    x = 143,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.