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Finding the Third Proportional to 61,481 and 92,222

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Solution

The third proportional to 61,481 and 92,222 is: 138,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,481 : 92,222 = 92,222 : x
  2. Step 2: Convert to fraction form
    61,481/92,222 = 92,222/x
  3. Step 3: Cross multiply
    61,481x = 92,222 × 92,222
  4. Step 4: Simplify right side
    61,481x = 8,504,897,284
  5. Step 5: Solve for x
    x = 8,504,897,284/61,481
  6. Step 6: Final answer
    x = 138,333.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.