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Finding the Third Proportional to 59,498 and 95,661

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Solution

The third proportional to 59,498 and 95,661 is: 153,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,498 : 95,661 = 95,661 : x
  2. Step 2: Convert to fraction form
    59,498/95,661 = 95,661/x
  3. Step 3: Cross multiply
    59,498x = 95,661 × 95,661
  4. Step 4: Simplify right side
    59,498x = 9,151,026,921
  5. Step 5: Solve for x
    x = 9,151,026,921/59,498
  6. Step 6: Final answer
    x = 153,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.