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Finding the Third Proportional to 52,579 and 114,870

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Solution

The third proportional to 52,579 and 114,870 is: 250,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,579 : 114,870 = 114,870 : x
  2. Step 2: Convert to fraction form
    52,579/114,870 = 114,870/x
  3. Step 3: Cross multiply
    52,579x = 114,870 × 114,870
  4. Step 4: Simplify right side
    52,579x = 13,195,116,900
  5. Step 5: Solve for x
    x = 13,195,116,900/52,579
  6. Step 6: Final answer
    x = 250,957.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.