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Finding the Third Proportional to 48,423 and 72,610

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Solution

The third proportional to 48,423 and 72,610 is: 108,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,423 : 72,610 = 72,610 : x
  2. Step 2: Convert to fraction form
    48,423/72,610 = 72,610/x
  3. Step 3: Cross multiply
    48,423x = 72,610 × 72,610
  4. Step 4: Simplify right side
    48,423x = 5,272,212,100
  5. Step 5: Solve for x
    x = 5,272,212,100/48,423
  6. Step 6: Final answer
    x = 108,878.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.