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Finding the Third Proportional to 61,623 and 93,102

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Solution

The third proportional to 61,623 and 93,102 is: 140,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,623 : 93,102 = 93,102 : x
  2. Step 2: Convert to fraction form
    61,623/93,102 = 93,102/x
  3. Step 3: Cross multiply
    61,623x = 93,102 × 93,102
  4. Step 4: Simplify right side
    61,623x = 8,667,982,404
  5. Step 5: Solve for x
    x = 8,667,982,404/61,623
  6. Step 6: Final answer
    x = 140,661.48

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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.