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Finding the Third Proportional to 70,282 and 151,310

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Solution

The third proportional to 70,282 and 151,310 is: 325,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282 : 151,310 = 151,310 : x
  2. Step 2: Convert to fraction form
    70,282/151,310 = 151,310/x
  3. Step 3: Cross multiply
    70,282x = 151,310 × 151,310
  4. Step 4: Simplify right side
    70,282x = 22,894,716,100
  5. Step 5: Solve for x
    x = 22,894,716,100/70,282
  6. Step 6: Final answer
    x = 325,755.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.