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Finding the Third Proportional to 120,929 and 262,572

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Solution

The third proportional to 120,929 and 262,572 is: 570,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,929 : 262,572 = 262,572 : x
  2. Step 2: Convert to fraction form
    120,929/262,572 = 262,572/x
  3. Step 3: Cross multiply
    120,929x = 262,572 × 262,572
  4. Step 4: Simplify right side
    120,929x = 68,944,055,184
  5. Step 5: Solve for x
    x = 68,944,055,184/120,929
  6. Step 6: Final answer
    x = 570,120.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.