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Finding the Third Proportional to 72,774 and 98,262

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Solution

The third proportional to 72,774 and 98,262 is: 132,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774 : 98,262 = 98,262 : x
  2. Step 2: Convert to fraction form
    72,774/98,262 = 98,262/x
  3. Step 3: Cross multiply
    72,774x = 98,262 × 98,262
  4. Step 4: Simplify right side
    72,774x = 9,655,420,644
  5. Step 5: Solve for x
    x = 9,655,420,644/72,774
  6. Step 6: Final answer
    x = 132,676.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.