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Finding the Third Proportional to 89,074 and 142,035

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Solution

The third proportional to 89,074 and 142,035 is: 226,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074 : 142,035 = 142,035 : x
  2. Step 2: Convert to fraction form
    89,074/142,035 = 142,035/x
  3. Step 3: Cross multiply
    89,074x = 142,035 × 142,035
  4. Step 4: Simplify right side
    89,074x = 20,173,941,225
  5. Step 5: Solve for x
    x = 20,173,941,225/89,074
  6. Step 6: Final answer
    x = 226,485.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.