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Finding the Third Proportional to 127,149.50 and 186,831.75

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Solution

The third proportional to 127,149.50 and 186,831.75 is: 274,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,149.50 : 186,831.75 = 186,831.75 : x
  2. Step 2: Convert to fraction form
    127,149.50/186,831.75 = 186,831.75/x
  3. Step 3: Cross multiply
    127,149.50x = 186,831.75 × 186,831.75
  4. Step 4: Simplify right side
    127,149.50x = 34,906,102,808.06
  5. Step 5: Solve for x
    x = 34,906,102,808.06/127,149.50
  6. Step 6: Final answer
    x = 274,528.04

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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.