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Finding the Third Proportional to 61,611 and 89,544

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Solution

The third proportional to 61,611 and 89,544 is: 130,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,611 : 89,544 = 89,544 : x
  2. Step 2: Convert to fraction form
    61,611/89,544 = 89,544/x
  3. Step 3: Cross multiply
    61,611x = 89,544 × 89,544
  4. Step 4: Simplify right side
    61,611x = 8,018,127,936
  5. Step 5: Solve for x
    x = 8,018,127,936/61,611
  6. Step 6: Final answer
    x = 130,141.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.