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Finding the Third Proportional to 115,496 and 169,246

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Solution

The third proportional to 115,496 and 169,246 is: 248,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496 : 169,246 = 169,246 : x
  2. Step 2: Convert to fraction form
    115,496/169,246 = 169,246/x
  3. Step 3: Cross multiply
    115,496x = 169,246 × 169,246
  4. Step 4: Simplify right side
    115,496x = 28,644,208,516
  5. Step 5: Solve for x
    x = 28,644,208,516/115,496
  6. Step 6: Final answer
    x = 248,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.