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Finding the Third Proportional to 70,836 and 96,250

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Solution

The third proportional to 70,836 and 96,250 is: 130,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,836 : 96,250 = 96,250 : x
  2. Step 2: Convert to fraction form
    70,836/96,250 = 96,250/x
  3. Step 3: Cross multiply
    70,836x = 96,250 × 96,250
  4. Step 4: Simplify right side
    70,836x = 9,264,062,500
  5. Step 5: Solve for x
    x = 9,264,062,500/70,836
  6. Step 6: Final answer
    x = 130,781.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.