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Finding the Third Proportional to 51,779.25 and 75,967.88

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Solution

The third proportional to 51,779.25 and 75,967.88 is: 111,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779.25 : 75,967.88 = 75,967.88 : x
  2. Step 2: Convert to fraction form
    51,779.25/75,967.88 = 75,967.88/x
  3. Step 3: Cross multiply
    51,779.25x = 75,967.88 × 75,967.88
  4. Step 4: Simplify right side
    51,779.25x = 5,771,118,032.02
  5. Step 5: Solve for x
    x = 5,771,118,032.02/51,779.25
  6. Step 6: Final answer
    x = 111,456.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.