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Finding the Third Proportional to 125,859 and 165,095

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Solution

The third proportional to 125,859 and 165,095 is: 216,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,859 : 165,095 = 165,095 : x
  2. Step 2: Convert to fraction form
    125,859/165,095 = 165,095/x
  3. Step 3: Cross multiply
    125,859x = 165,095 × 165,095
  4. Step 4: Simplify right side
    125,859x = 27,256,359,025
  5. Step 5: Solve for x
    x = 27,256,359,025/125,859
  6. Step 6: Final answer
    x = 216,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.