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Finding the Third Proportional to 61,258 and 126,350

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Solution

The third proportional to 61,258 and 126,350 is: 260,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,258 : 126,350 = 126,350 : x
  2. Step 2: Convert to fraction form
    61,258/126,350 = 126,350/x
  3. Step 3: Cross multiply
    61,258x = 126,350 × 126,350
  4. Step 4: Simplify right side
    61,258x = 15,964,322,500
  5. Step 5: Solve for x
    x = 15,964,322,500/61,258
  6. Step 6: Final answer
    x = 260,607.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.