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Finding the Third Proportional to 70,236 and 95,346

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Solution

The third proportional to 70,236 and 95,346 is: 129,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236 : 95,346 = 95,346 : x
  2. Step 2: Convert to fraction form
    70,236/95,346 = 95,346/x
  3. Step 3: Cross multiply
    70,236x = 95,346 × 95,346
  4. Step 4: Simplify right side
    70,236x = 9,090,859,716
  5. Step 5: Solve for x
    x = 9,090,859,716/70,236
  6. Step 6: Final answer
    x = 129,433.05

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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.