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Finding the Third Proportional to 61,260 and 92,249

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Solution

The third proportional to 61,260 and 92,249 is: 138,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,260 : 92,249 = 92,249 : x
  2. Step 2: Convert to fraction form
    61,260/92,249 = 92,249/x
  3. Step 3: Cross multiply
    61,260x = 92,249 × 92,249
  4. Step 4: Simplify right side
    61,260x = 8,509,878,001
  5. Step 5: Solve for x
    x = 8,509,878,001/61,260
  6. Step 6: Final answer
    x = 138,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.