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Finding the Third Proportional to 61,540 and 95,574

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Solution

The third proportional to 61,540 and 95,574 is: 148,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,540 : 95,574 = 95,574 : x
  2. Step 2: Convert to fraction form
    61,540/95,574 = 95,574/x
  3. Step 3: Cross multiply
    61,540x = 95,574 × 95,574
  4. Step 4: Simplify right side
    61,540x = 9,134,389,476
  5. Step 5: Solve for x
    x = 9,134,389,476/61,540
  6. Step 6: Final answer
    x = 148,430.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.