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Finding the Third Proportional to 66,538 and 97,330

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Solution

The third proportional to 66,538 and 97,330 is: 142,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 97,330 = 97,330 : x
  2. Step 2: Convert to fraction form
    66,538/97,330 = 97,330/x
  3. Step 3: Cross multiply
    66,538x = 97,330 × 97,330
  4. Step 4: Simplify right side
    66,538x = 9,473,128,900
  5. Step 5: Solve for x
    x = 9,473,128,900/66,538
  6. Step 6: Final answer
    x = 142,371.71

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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.