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Finding the Third Proportional to 113,373 and 176,952

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Solution

The third proportional to 113,373 and 176,952 is: 276,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,373 : 176,952 = 176,952 : x
  2. Step 2: Convert to fraction form
    113,373/176,952 = 176,952/x
  3. Step 3: Cross multiply
    113,373x = 176,952 × 176,952
  4. Step 4: Simplify right side
    113,373x = 31,312,010,304
  5. Step 5: Solve for x
    x = 31,312,010,304/113,373
  6. Step 6: Final answer
    x = 276,185.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.