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Finding the Third Proportional to 109,245.38 and 164,872.13

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Solution

The third proportional to 109,245.38 and 164,872.13 is: 248,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245.38 : 164,872.13 = 164,872.13 : x
  2. Step 2: Convert to fraction form
    109,245.38/164,872.13 = 164,872.13/x
  3. Step 3: Cross multiply
    109,245.38x = 164,872.13 × 164,872.13
  4. Step 4: Simplify right side
    109,245.38x = 27,182,817,602.02
  5. Step 5: Solve for x
    x = 27,182,817,602.02/109,245.38
  6. Step 6: Final answer
    x = 248,823.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.