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Finding the Third Proportional to 93,498 and 145,017

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Solution

The third proportional to 93,498 and 145,017 is: 224,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498 : 145,017 = 145,017 : x
  2. Step 2: Convert to fraction form
    93,498/145,017 = 145,017/x
  3. Step 3: Cross multiply
    93,498x = 145,017 × 145,017
  4. Step 4: Simplify right side
    93,498x = 21,029,930,289
  5. Step 5: Solve for x
    x = 21,029,930,289/93,498
  6. Step 6: Final answer
    x = 224,923.85

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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.