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Finding the Third Proportional to 60,779.25 and 96,165

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Solution

The third proportional to 60,779.25 and 96,165 is: 152,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,779.25 : 96,165 = 96,165 : x
  2. Step 2: Convert to fraction form
    60,779.25/96,165 = 96,165/x
  3. Step 3: Cross multiply
    60,779.25x = 96,165 × 96,165
  4. Step 4: Simplify right side
    60,779.25x = 9,247,707,225
  5. Step 5: Solve for x
    x = 9,247,707,225/60,779.25
  6. Step 6: Final answer
    x = 152,152.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.