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Finding the Third Proportional to 72,898 and 112,452

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Solution

The third proportional to 72,898 and 112,452 is: 173,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,898 : 112,452 = 112,452 : x
  2. Step 2: Convert to fraction form
    72,898/112,452 = 112,452/x
  3. Step 3: Cross multiply
    72,898x = 112,452 × 112,452
  4. Step 4: Simplify right side
    72,898x = 12,645,452,304
  5. Step 5: Solve for x
    x = 12,645,452,304/72,898
  6. Step 6: Final answer
    x = 173,467.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.