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Finding the Third Proportional to 47,146 and 72,360

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Solution

The third proportional to 47,146 and 72,360 is: 111,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146 : 72,360 = 72,360 : x
  2. Step 2: Convert to fraction form
    47,146/72,360 = 72,360/x
  3. Step 3: Cross multiply
    47,146x = 72,360 × 72,360
  4. Step 4: Simplify right side
    47,146x = 5,235,969,600
  5. Step 5: Solve for x
    x = 5,235,969,600/47,146
  6. Step 6: Final answer
    x = 111,058.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.