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Finding the Third Proportional to 61,844 and 93,339

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Solution

The third proportional to 61,844 and 93,339 is: 140,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,844 : 93,339 = 93,339 : x
  2. Step 2: Convert to fraction form
    61,844/93,339 = 93,339/x
  3. Step 3: Cross multiply
    61,844x = 93,339 × 93,339
  4. Step 4: Simplify right side
    61,844x = 8,712,168,921
  5. Step 5: Solve for x
    x = 8,712,168,921/61,844
  6. Step 6: Final answer
    x = 140,873.31

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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.