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Finding the Third Proportional to 109,873.13 and 164,779.31

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Solution

The third proportional to 109,873.13 and 164,779.31 is: 247,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.13 : 164,779.31 = 164,779.31 : x
  2. Step 2: Convert to fraction form
    109,873.13/164,779.31 = 164,779.31/x
  3. Step 3: Cross multiply
    109,873.13x = 164,779.31 × 164,779.31
  4. Step 4: Simplify right side
    109,873.13x = 27,152,221,827.97
  5. Step 5: Solve for x
    x = 27,152,221,827.97/109,873.13
  6. Step 6: Final answer
    x = 247,123.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.