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Finding the Third Proportional to 72,498 and 105,591

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Solution

The third proportional to 72,498 and 105,591 is: 153,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498 : 105,591 = 105,591 : x
  2. Step 2: Convert to fraction form
    72,498/105,591 = 105,591/x
  3. Step 3: Cross multiply
    72,498x = 105,591 × 105,591
  4. Step 4: Simplify right side
    72,498x = 11,149,459,281
  5. Step 5: Solve for x
    x = 11,149,459,281/72,498
  6. Step 6: Final answer
    x = 153,789.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.