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Finding the Third Proportional to 55,962 and 86,779.13

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Solution

The third proportional to 55,962 and 86,779.13 is: 134,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,962 : 86,779.13 = 86,779.13 : x
  2. Step 2: Convert to fraction form
    55,962/86,779.13 = 86,779.13/x
  3. Step 3: Cross multiply
    55,962x = 86,779.13 × 86,779.13
  4. Step 4: Simplify right side
    55,962x = 7,530,616,535.77
  5. Step 5: Solve for x
    x = 7,530,616,535.77/55,962
  6. Step 6: Final answer
    x = 134,566.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.