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Finding the Third Proportional to 28,902 and 62,117

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Solution

The third proportional to 28,902 and 62,117 is: 133,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902 : 62,117 = 62,117 : x
  2. Step 2: Convert to fraction form
    28,902/62,117 = 62,117/x
  3. Step 3: Cross multiply
    28,902x = 62,117 × 62,117
  4. Step 4: Simplify right side
    28,902x = 3,858,521,689
  5. Step 5: Solve for x
    x = 3,858,521,689/28,902
  6. Step 6: Final answer
    x = 133,503.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.