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Finding the Third Proportional to 101,324 and 152,040

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Solution

The third proportional to 101,324 and 152,040 is: 228,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324 : 152,040 = 152,040 : x
  2. Step 2: Convert to fraction form
    101,324/152,040 = 152,040/x
  3. Step 3: Cross multiply
    101,324x = 152,040 × 152,040
  4. Step 4: Simplify right side
    101,324x = 23,116,161,600
  5. Step 5: Solve for x
    x = 23,116,161,600/101,324
  6. Step 6: Final answer
    x = 228,141.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.