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Finding the Third Proportional to 66,341 and 97,567

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Solution

The third proportional to 66,341 and 97,567 is: 143,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,341 : 97,567 = 97,567 : x
  2. Step 2: Convert to fraction form
    66,341/97,567 = 97,567/x
  3. Step 3: Cross multiply
    66,341x = 97,567 × 97,567
  4. Step 4: Simplify right side
    66,341x = 9,519,319,489
  5. Step 5: Solve for x
    x = 9,519,319,489/66,341
  6. Step 6: Final answer
    x = 143,490.74

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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.