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Finding the Third Proportional to 88,831.75 and 136,532.50

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Solution

The third proportional to 88,831.75 and 136,532.50 is: 209,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,831.75 : 136,532.50 = 136,532.50 : x
  2. Step 2: Convert to fraction form
    88,831.75/136,532.50 = 136,532.50/x
  3. Step 3: Cross multiply
    88,831.75x = 136,532.50 × 136,532.50
  4. Step 4: Simplify right side
    88,831.75x = 18,641,123,556.25
  5. Step 5: Solve for x
    x = 18,641,123,556.25/88,831.75
  6. Step 6: Final answer
    x = 209,847.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.