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Finding the Third Proportional to 100,831.50 and 152,064

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Solution

The third proportional to 100,831.50 and 152,064 is: 229,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.50 : 152,064 = 152,064 : x
  2. Step 2: Convert to fraction form
    100,831.50/152,064 = 152,064/x
  3. Step 3: Cross multiply
    100,831.50x = 152,064 × 152,064
  4. Step 4: Simplify right side
    100,831.50x = 23,123,460,096
  5. Step 5: Solve for x
    x = 23,123,460,096/100,831.50
  6. Step 6: Final answer
    x = 229,327.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.