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Finding the Third Proportional to 52,218 and 84,060

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Solution

The third proportional to 52,218 and 84,060 is: 135,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 84,060 = 84,060 : x
  2. Step 2: Convert to fraction form
    52,218/84,060 = 84,060/x
  3. Step 3: Cross multiply
    52,218x = 84,060 × 84,060
  4. Step 4: Simplify right side
    52,218x = 7,066,083,600
  5. Step 5: Solve for x
    x = 7,066,083,600/52,218
  6. Step 6: Final answer
    x = 135,318.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.