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Finding the Third Proportional to 92,289 and 144,585

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Solution

The third proportional to 92,289 and 144,585 is: 226,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,289 : 144,585 = 144,585 : x
  2. Step 2: Convert to fraction form
    92,289/144,585 = 144,585/x
  3. Step 3: Cross multiply
    92,289x = 144,585 × 144,585
  4. Step 4: Simplify right side
    92,289x = 20,904,822,225
  5. Step 5: Solve for x
    x = 20,904,822,225/92,289
  6. Step 6: Final answer
    x = 226,514.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.