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Finding the Third Proportional to 52,628 and 83,660

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Solution

The third proportional to 52,628 and 83,660 is: 132,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628 : 83,660 = 83,660 : x
  2. Step 2: Convert to fraction form
    52,628/83,660 = 83,660/x
  3. Step 3: Cross multiply
    52,628x = 83,660 × 83,660
  4. Step 4: Simplify right side
    52,628x = 6,998,995,600
  5. Step 5: Solve for x
    x = 6,998,995,600/52,628
  6. Step 6: Final answer
    x = 132,989.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.