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Finding the Third Proportional to 61,525.50 and 87,981

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Solution

The third proportional to 61,525.50 and 87,981 is: 125,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,525.50 : 87,981 = 87,981 : x
  2. Step 2: Convert to fraction form
    61,525.50/87,981 = 87,981/x
  3. Step 3: Cross multiply
    61,525.50x = 87,981 × 87,981
  4. Step 4: Simplify right side
    61,525.50x = 7,740,656,361
  5. Step 5: Solve for x
    x = 7,740,656,361/61,525.50
  6. Step 6: Final answer
    x = 125,812.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.