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Finding the Third Proportional to 82,779.75 and 110,089.13

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Solution

The third proportional to 82,779.75 and 110,089.13 is: 146,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779.75 : 110,089.13 = 110,089.13 : x
  2. Step 2: Convert to fraction form
    82,779.75/110,089.13 = 110,089.13/x
  3. Step 3: Cross multiply
    82,779.75x = 110,089.13 × 110,089.13
  4. Step 4: Simplify right side
    82,779.75x = 12,119,615,443.27
  5. Step 5: Solve for x
    x = 12,119,615,443.27/82,779.75
  6. Step 6: Final answer
    x = 146,407.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.