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Finding the Third Proportional to 48,391 and 72,066

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Solution

The third proportional to 48,391 and 72,066 is: 107,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391 : 72,066 = 72,066 : x
  2. Step 2: Convert to fraction form
    48,391/72,066 = 72,066/x
  3. Step 3: Cross multiply
    48,391x = 72,066 × 72,066
  4. Step 4: Simplify right side
    48,391x = 5,193,508,356
  5. Step 5: Solve for x
    x = 5,193,508,356/48,391
  6. Step 6: Final answer
    x = 107,323.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.