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Finding the Third Proportional to 125,184 and 170,496

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Solution

The third proportional to 125,184 and 170,496 is: 232,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,184 : 170,496 = 170,496 : x
  2. Step 2: Convert to fraction form
    125,184/170,496 = 170,496/x
  3. Step 3: Cross multiply
    125,184x = 170,496 × 170,496
  4. Step 4: Simplify right side
    125,184x = 29,068,886,016
  5. Step 5: Solve for x
    x = 29,068,886,016/125,184
  6. Step 6: Final answer
    x = 232,209.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.