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Finding the Third Proportional to 113,940 and 176,883

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Solution

The third proportional to 113,940 and 176,883 is: 274,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,940 : 176,883 = 176,883 : x
  2. Step 2: Convert to fraction form
    113,940/176,883 = 176,883/x
  3. Step 3: Cross multiply
    113,940x = 176,883 × 176,883
  4. Step 4: Simplify right side
    113,940x = 31,287,595,689
  5. Step 5: Solve for x
    x = 31,287,595,689/113,940
  6. Step 6: Final answer
    x = 274,597.12

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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.