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Finding the Third Proportional to 59,680 and 83,660

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Solution

The third proportional to 59,680 and 83,660 is: 117,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,680 : 83,660 = 83,660 : x
  2. Step 2: Convert to fraction form
    59,680/83,660 = 83,660/x
  3. Step 3: Cross multiply
    59,680x = 83,660 × 83,660
  4. Step 4: Simplify right side
    59,680x = 6,998,995,600
  5. Step 5: Solve for x
    x = 6,998,995,600/59,680
  6. Step 6: Final answer
    x = 117,275.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.