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Finding the Third Proportional to 70,056 and 96,334

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Solution

The third proportional to 70,056 and 96,334 is: 132,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,056 : 96,334 = 96,334 : x
  2. Step 2: Convert to fraction form
    70,056/96,334 = 96,334/x
  3. Step 3: Cross multiply
    70,056x = 96,334 × 96,334
  4. Step 4: Simplify right side
    70,056x = 9,280,239,556
  5. Step 5: Solve for x
    x = 9,280,239,556/70,056
  6. Step 6: Final answer
    x = 132,468.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.