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Finding the Third Proportional to 60,657 and 131,250

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Solution

The third proportional to 60,657 and 131,250 is: 283,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,657 : 131,250 = 131,250 : x
  2. Step 2: Convert to fraction form
    60,657/131,250 = 131,250/x
  3. Step 3: Cross multiply
    60,657x = 131,250 × 131,250
  4. Step 4: Simplify right side
    60,657x = 17,226,562,500
  5. Step 5: Solve for x
    x = 17,226,562,500/60,657
  6. Step 6: Final answer
    x = 283,999.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.