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Finding the Third Proportional to 96,313.75 and 127,831.88

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Solution

The third proportional to 96,313.75 and 127,831.88 is: 169,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313.75 : 127,831.88 = 127,831.88 : x
  2. Step 2: Convert to fraction form
    96,313.75/127,831.88 = 127,831.88/x
  3. Step 3: Cross multiply
    96,313.75x = 127,831.88 × 127,831.88
  4. Step 4: Simplify right side
    96,313.75x = 16,340,988,266.02
  5. Step 5: Solve for x
    x = 16,340,988,266.02/96,313.75
  6. Step 6: Final answer
    x = 169,664.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.