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Finding the Third Proportional to 62,484.75 and 96,779.81

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Solution

The third proportional to 62,484.75 and 96,779.81 is: 149,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,484.75 : 96,779.81 = 96,779.81 : x
  2. Step 2: Convert to fraction form
    62,484.75/96,779.81 = 96,779.81/x
  3. Step 3: Cross multiply
    62,484.75x = 96,779.81 × 96,779.81
  4. Step 4: Simplify right side
    62,484.75x = 9,366,332,107.54
  5. Step 5: Solve for x
    x = 9,366,332,107.54/62,484.75
  6. Step 6: Final answer
    x = 149,897.89

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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.