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Finding the Third Proportional to 72,325 and 157,089

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Solution

The third proportional to 72,325 and 157,089 is: 341,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,325 : 157,089 = 157,089 : x
  2. Step 2: Convert to fraction form
    72,325/157,089 = 157,089/x
  3. Step 3: Cross multiply
    72,325x = 157,089 × 157,089
  4. Step 4: Simplify right side
    72,325x = 24,676,953,921
  5. Step 5: Solve for x
    x = 24,676,953,921/72,325
  6. Step 6: Final answer
    x = 341,195.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.