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Finding the Third Proportional to 61,709 and 93,242

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Solution

The third proportional to 61,709 and 93,242 is: 140,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709 : 93,242 = 93,242 : x
  2. Step 2: Convert to fraction form
    61,709/93,242 = 93,242/x
  3. Step 3: Cross multiply
    61,709x = 93,242 × 93,242
  4. Step 4: Simplify right side
    61,709x = 8,694,070,564
  5. Step 5: Solve for x
    x = 8,694,070,564/61,709
  6. Step 6: Final answer
    x = 140,888.21

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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.