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Finding the Third Proportional to 76,162.50 and 118,407

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Solution

The third proportional to 76,162.50 and 118,407 is: 184,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162.50 : 118,407 = 118,407 : x
  2. Step 2: Convert to fraction form
    76,162.50/118,407 = 118,407/x
  3. Step 3: Cross multiply
    76,162.50x = 118,407 × 118,407
  4. Step 4: Simplify right side
    76,162.50x = 14,020,217,649
  5. Step 5: Solve for x
    x = 14,020,217,649/76,162.50
  6. Step 6: Final answer
    x = 184,082.95

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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.