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Finding the Third Proportional to 61,444 and 92,214

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Solution

The third proportional to 61,444 and 92,214 is: 138,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,444 : 92,214 = 92,214 : x
  2. Step 2: Convert to fraction form
    61,444/92,214 = 92,214/x
  3. Step 3: Cross multiply
    61,444x = 92,214 × 92,214
  4. Step 4: Simplify right side
    61,444x = 8,503,421,796
  5. Step 5: Solve for x
    x = 8,503,421,796/61,444
  6. Step 6: Final answer
    x = 138,393.04

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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.