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Finding the Third Proportional to 61,580 and 95,538

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Solution

The third proportional to 61,580 and 95,538 is: 148,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,580 : 95,538 = 95,538 : x
  2. Step 2: Convert to fraction form
    61,580/95,538 = 95,538/x
  3. Step 3: Cross multiply
    61,580x = 95,538 × 95,538
  4. Step 4: Simplify right side
    61,580x = 9,127,509,444
  5. Step 5: Solve for x
    x = 9,127,509,444/61,580
  6. Step 6: Final answer
    x = 148,221.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.