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Finding the Third Proportional to 61,596 and 95,562

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Solution

The third proportional to 61,596 and 95,562 is: 148,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,596 : 95,562 = 95,562 : x
  2. Step 2: Convert to fraction form
    61,596/95,562 = 95,562/x
  3. Step 3: Cross multiply
    61,596x = 95,562 × 95,562
  4. Step 4: Simplify right side
    61,596x = 9,132,095,844
  5. Step 5: Solve for x
    x = 9,132,095,844/61,596
  6. Step 6: Final answer
    x = 148,257.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.