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Finding the Third Proportional to 77,522 and 119,940

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Solution

The third proportional to 77,522 and 119,940 is: 185,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,522 : 119,940 = 119,940 : x
  2. Step 2: Convert to fraction form
    77,522/119,940 = 119,940/x
  3. Step 3: Cross multiply
    77,522x = 119,940 × 119,940
  4. Step 4: Simplify right side
    77,522x = 14,385,603,600
  5. Step 5: Solve for x
    x = 14,385,603,600/77,522
  6. Step 6: Final answer
    x = 185,568.01

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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.