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Finding the Third Proportional to 66,494 and 99,516

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Solution

The third proportional to 66,494 and 99,516 is: 148,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,494 : 99,516 = 99,516 : x
  2. Step 2: Convert to fraction form
    66,494/99,516 = 99,516/x
  3. Step 3: Cross multiply
    66,494x = 99,516 × 99,516
  4. Step 4: Simplify right side
    66,494x = 9,903,434,256
  5. Step 5: Solve for x
    x = 9,903,434,256/66,494
  6. Step 6: Final answer
    x = 148,937.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.