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Finding the Third Proportional to 61,581 and 93,612

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Solution

The third proportional to 61,581 and 93,612 is: 142,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,581 : 93,612 = 93,612 : x
  2. Step 2: Convert to fraction form
    61,581/93,612 = 93,612/x
  3. Step 3: Cross multiply
    61,581x = 93,612 × 93,612
  4. Step 4: Simplify right side
    61,581x = 8,763,206,544
  5. Step 5: Solve for x
    x = 8,763,206,544/61,581
  6. Step 6: Final answer
    x = 142,303.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.