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Finding the Third Proportional to 120,015 and 161,040

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Solution

The third proportional to 120,015 and 161,040 is: 216,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,015 : 161,040 = 161,040 : x
  2. Step 2: Convert to fraction form
    120,015/161,040 = 161,040/x
  3. Step 3: Cross multiply
    120,015x = 161,040 × 161,040
  4. Step 4: Simplify right side
    120,015x = 25,933,881,600
  5. Step 5: Solve for x
    x = 25,933,881,600/120,015
  6. Step 6: Final answer
    x = 216,088.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.