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Finding the Third Proportional to 107,019 and 158,985

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Solution

The third proportional to 107,019 and 158,985 is: 236,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,019 : 158,985 = 158,985 : x
  2. Step 2: Convert to fraction form
    107,019/158,985 = 158,985/x
  3. Step 3: Cross multiply
    107,019x = 158,985 × 158,985
  4. Step 4: Simplify right side
    107,019x = 25,276,230,225
  5. Step 5: Solve for x
    x = 25,276,230,225/107,019
  6. Step 6: Final answer
    x = 236,184.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.