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Finding the Third Proportional to 52,564 and 83,220

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Solution

The third proportional to 52,564 and 83,220 is: 131,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564 : 83,220 = 83,220 : x
  2. Step 2: Convert to fraction form
    52,564/83,220 = 83,220/x
  3. Step 3: Cross multiply
    52,564x = 83,220 × 83,220
  4. Step 4: Simplify right side
    52,564x = 6,925,568,400
  5. Step 5: Solve for x
    x = 6,925,568,400/52,564
  6. Step 6: Final answer
    x = 131,754.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.