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Finding the Third Proportional to 58,452 and 82,710

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Solution

The third proportional to 58,452 and 82,710 is: 117,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 82,710 = 82,710 : x
  2. Step 2: Convert to fraction form
    58,452/82,710 = 82,710/x
  3. Step 3: Cross multiply
    58,452x = 82,710 × 82,710
  4. Step 4: Simplify right side
    58,452x = 6,840,944,100
  5. Step 5: Solve for x
    x = 6,840,944,100/58,452
  6. Step 6: Final answer
    x = 117,035.24

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.