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Finding the Third Proportional to 65,234 and 125,284

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Solution

The third proportional to 65,234 and 125,284 is: 240,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234 : 125,284 = 125,284 : x
  2. Step 2: Convert to fraction form
    65,234/125,284 = 125,284/x
  3. Step 3: Cross multiply
    65,234x = 125,284 × 125,284
  4. Step 4: Simplify right side
    65,234x = 15,696,080,656
  5. Step 5: Solve for x
    x = 15,696,080,656/65,234
  6. Step 6: Final answer
    x = 240,611.96

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.