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Finding the Third Proportional to 70,886 and 96,314

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Solution

The third proportional to 70,886 and 96,314 is: 130,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886 : 96,314 = 96,314 : x
  2. Step 2: Convert to fraction form
    70,886/96,314 = 96,314/x
  3. Step 3: Cross multiply
    70,886x = 96,314 × 96,314
  4. Step 4: Simplify right side
    70,886x = 9,276,386,596
  5. Step 5: Solve for x
    x = 9,276,386,596/70,886
  6. Step 6: Final answer
    x = 130,863.45

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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.