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Finding the Third Proportional to 47,160 and 68,202

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Solution

The third proportional to 47,160 and 68,202 is: 98,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 68,202 = 68,202 : x
  2. Step 2: Convert to fraction form
    47,160/68,202 = 68,202/x
  3. Step 3: Cross multiply
    47,160x = 68,202 × 68,202
  4. Step 4: Simplify right side
    47,160x = 4,651,512,804
  5. Step 5: Solve for x
    x = 4,651,512,804/47,160
  6. Step 6: Final answer
    x = 98,632.59

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.