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Finding the Third Proportional to 125,216 and 162,552

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Solution

The third proportional to 125,216 and 162,552 is: 211,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,216 : 162,552 = 162,552 : x
  2. Step 2: Convert to fraction form
    125,216/162,552 = 162,552/x
  3. Step 3: Cross multiply
    125,216x = 162,552 × 162,552
  4. Step 4: Simplify right side
    125,216x = 26,423,152,704
  5. Step 5: Solve for x
    x = 26,423,152,704/125,216
  6. Step 6: Final answer
    x = 211,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.