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Finding the Third Proportional to 61,400 and 97,041

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Solution

The third proportional to 61,400 and 97,041 is: 153,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 97,041 = 97,041 : x
  2. Step 2: Convert to fraction form
    61,400/97,041 = 97,041/x
  3. Step 3: Cross multiply
    61,400x = 97,041 × 97,041
  4. Step 4: Simplify right side
    61,400x = 9,416,955,681
  5. Step 5: Solve for x
    x = 9,416,955,681/61,400
  6. Step 6: Final answer
    x = 153,370.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.