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Finding the Third Proportional to 90,164 and 169,048

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Solution

The third proportional to 90,164 and 169,048 is: 316,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,164 : 169,048 = 169,048 : x
  2. Step 2: Convert to fraction form
    90,164/169,048 = 169,048/x
  3. Step 3: Cross multiply
    90,164x = 169,048 × 169,048
  4. Step 4: Simplify right side
    90,164x = 28,577,226,304
  5. Step 5: Solve for x
    x = 28,577,226,304/90,164
  6. Step 6: Final answer
    x = 316,947.19

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.