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Finding the Third Proportional to 61,920 and 93,174

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Solution

The third proportional to 61,920 and 93,174 is: 140,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,920 : 93,174 = 93,174 : x
  2. Step 2: Convert to fraction form
    61,920/93,174 = 93,174/x
  3. Step 3: Cross multiply
    61,920x = 93,174 × 93,174
  4. Step 4: Simplify right side
    61,920x = 8,681,394,276
  5. Step 5: Solve for x
    x = 8,681,394,276/61,920
  6. Step 6: Final answer
    x = 140,203.40

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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.