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Finding the Third Proportional to 61,530 and 87,988

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Solution

The third proportional to 61,530 and 87,988 is: 125,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530 : 87,988 = 87,988 : x
  2. Step 2: Convert to fraction form
    61,530/87,988 = 87,988/x
  3. Step 3: Cross multiply
    61,530x = 87,988 × 87,988
  4. Step 4: Simplify right side
    61,530x = 7,741,888,144
  5. Step 5: Solve for x
    x = 7,741,888,144/61,530
  6. Step 6: Final answer
    x = 125,822.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.