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Finding the Third Proportional to 125,633 and 169,819

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Solution

The third proportional to 125,633 and 169,819 is: 229,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,633 : 169,819 = 169,819 : x
  2. Step 2: Convert to fraction form
    125,633/169,819 = 169,819/x
  3. Step 3: Cross multiply
    125,633x = 169,819 × 169,819
  4. Step 4: Simplify right side
    125,633x = 28,838,492,761
  5. Step 5: Solve for x
    x = 28,838,492,761/125,633
  6. Step 6: Final answer
    x = 229,545.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.