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Finding the Third Proportional to 61,608 and 97,932

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Solution

The third proportional to 61,608 and 97,932 is: 155,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,608 : 97,932 = 97,932 : x
  2. Step 2: Convert to fraction form
    61,608/97,932 = 97,932/x
  3. Step 3: Cross multiply
    61,608x = 97,932 × 97,932
  4. Step 4: Simplify right side
    61,608x = 9,590,676,624
  5. Step 5: Solve for x
    x = 9,590,676,624/61,608
  6. Step 6: Final answer
    x = 155,672.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.