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Finding the Third Proportional to 61,370 and 90,041

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Solution

The third proportional to 61,370 and 90,041 is: 132,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,370 : 90,041 = 90,041 : x
  2. Step 2: Convert to fraction form
    61,370/90,041 = 90,041/x
  3. Step 3: Cross multiply
    61,370x = 90,041 × 90,041
  4. Step 4: Simplify right side
    61,370x = 8,107,381,681
  5. Step 5: Solve for x
    x = 8,107,381,681/61,370
  6. Step 6: Final answer
    x = 132,106.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.