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Finding the Third Proportional to 66,722 and 97,448

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Solution

The third proportional to 66,722 and 97,448 is: 142,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,722 : 97,448 = 97,448 : x
  2. Step 2: Convert to fraction form
    66,722/97,448 = 97,448/x
  3. Step 3: Cross multiply
    66,722x = 97,448 × 97,448
  4. Step 4: Simplify right side
    66,722x = 9,496,112,704
  5. Step 5: Solve for x
    x = 9,496,112,704/66,722
  6. Step 6: Final answer
    x = 142,323.56

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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.