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Finding the Third Proportional to 70,484 and 96,650

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Solution

The third proportional to 70,484 and 96,650 is: 132,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,484 : 96,650 = 96,650 : x
  2. Step 2: Convert to fraction form
    70,484/96,650 = 96,650/x
  3. Step 3: Cross multiply
    70,484x = 96,650 × 96,650
  4. Step 4: Simplify right side
    70,484x = 9,341,222,500
  5. Step 5: Solve for x
    x = 9,341,222,500/70,484
  6. Step 6: Final answer
    x = 132,529.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.