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Finding the Third Proportional to 84,724 and 112,952

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Solution

The third proportional to 84,724 and 112,952 is: 150,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,724 : 112,952 = 112,952 : x
  2. Step 2: Convert to fraction form
    84,724/112,952 = 112,952/x
  3. Step 3: Cross multiply
    84,724x = 112,952 × 112,952
  4. Step 4: Simplify right side
    84,724x = 12,758,154,304
  5. Step 5: Solve for x
    x = 12,758,154,304/84,724
  6. Step 6: Final answer
    x = 150,584.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.