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Finding the Third Proportional to 66,914 and 98,523

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Solution

The third proportional to 66,914 and 98,523 is: 145,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914 : 98,523 = 98,523 : x
  2. Step 2: Convert to fraction form
    66,914/98,523 = 98,523/x
  3. Step 3: Cross multiply
    66,914x = 98,523 × 98,523
  4. Step 4: Simplify right side
    66,914x = 9,706,781,529
  5. Step 5: Solve for x
    x = 9,706,781,529/66,914
  6. Step 6: Final answer
    x = 145,063.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.