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Finding the Third Proportional to 113,592 and 175,866

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Solution

The third proportional to 113,592 and 175,866 is: 272,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,592 : 175,866 = 175,866 : x
  2. Step 2: Convert to fraction form
    113,592/175,866 = 175,866/x
  3. Step 3: Cross multiply
    113,592x = 175,866 × 175,866
  4. Step 4: Simplify right side
    113,592x = 30,928,849,956
  5. Step 5: Solve for x
    x = 30,928,849,956/113,592
  6. Step 6: Final answer
    x = 272,280.18

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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.