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Finding the Third Proportional to 164,251.13 and 181,531.13

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Solution

The third proportional to 164,251.13 and 181,531.13 is: 200,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,251.13 : 181,531.13 = 181,531.13 : x
  2. Step 2: Convert to fraction form
    164,251.13/181,531.13 = 181,531.13/x
  3. Step 3: Cross multiply
    164,251.13x = 181,531.13 × 181,531.13
  4. Step 4: Simplify right side
    164,251.13x = 32,953,549,343.77
  5. Step 5: Solve for x
    x = 32,953,549,343.77/164,251.13
  6. Step 6: Final answer
    x = 200,629.06

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.