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Finding the Third Proportional to 100,831.50 and 127,426.50

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Solution

The third proportional to 100,831.50 and 127,426.50 is: 161,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.50 : 127,426.50 = 127,426.50 : x
  2. Step 2: Convert to fraction form
    100,831.50/127,426.50 = 127,426.50/x
  3. Step 3: Cross multiply
    100,831.50x = 127,426.50 × 127,426.50
  4. Step 4: Simplify right side
    100,831.50x = 16,237,512,902.25
  5. Step 5: Solve for x
    x = 16,237,512,902.25/100,831.50
  6. Step 6: Final answer
    x = 161,036.11

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.