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Finding the Third Proportional to 52,258.50 and 112,902

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Solution

The third proportional to 52,258.50 and 112,902 is: 243,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,258.50 : 112,902 = 112,902 : x
  2. Step 2: Convert to fraction form
    52,258.50/112,902 = 112,902/x
  3. Step 3: Cross multiply
    52,258.50x = 112,902 × 112,902
  4. Step 4: Simplify right side
    52,258.50x = 12,746,861,604
  5. Step 5: Solve for x
    x = 12,746,861,604/52,258.50
  6. Step 6: Final answer
    x = 243,919.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.