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Finding the Third Proportional to 75,169.50 and 110,293.50

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Solution

The third proportional to 75,169.50 and 110,293.50 is: 161,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.50 : 110,293.50 = 110,293.50 : x
  2. Step 2: Convert to fraction form
    75,169.50/110,293.50 = 110,293.50/x
  3. Step 3: Cross multiply
    75,169.50x = 110,293.50 × 110,293.50
  4. Step 4: Simplify right side
    75,169.50x = 12,164,656,142.25
  5. Step 5: Solve for x
    x = 12,164,656,142.25/75,169.50
  6. Step 6: Final answer
    x = 161,829.68

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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.