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Finding the Third Proportional to 57,618 and 87,235.31

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Solution

The third proportional to 57,618 and 87,235.31 is: 132,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,618 : 87,235.31 = 87,235.31 : x
  2. Step 2: Convert to fraction form
    57,618/87,235.31 = 87,235.31/x
  3. Step 3: Cross multiply
    57,618x = 87,235.31 × 87,235.31
  4. Step 4: Simplify right side
    57,618x = 7,609,999,746.97
  5. Step 5: Solve for x
    x = 7,609,999,746.97/57,618
  6. Step 6: Final answer
    x = 132,076.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.