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Finding the Third Proportional to 60,452 and 131,658

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Solution

The third proportional to 60,452 and 131,658 is: 286,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,452 : 131,658 = 131,658 : x
  2. Step 2: Convert to fraction form
    60,452/131,658 = 131,658/x
  3. Step 3: Cross multiply
    60,452x = 131,658 × 131,658
  4. Step 4: Simplify right side
    60,452x = 17,333,828,964
  5. Step 5: Solve for x
    x = 17,333,828,964/60,452
  6. Step 6: Final answer
    x = 286,737.06

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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.