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Finding the Third Proportional to 72,982 and 157,958

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Solution

The third proportional to 72,982 and 157,958 is: 341,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982 : 157,958 = 157,958 : x
  2. Step 2: Convert to fraction form
    72,982/157,958 = 157,958/x
  3. Step 3: Cross multiply
    72,982x = 157,958 × 157,958
  4. Step 4: Simplify right side
    72,982x = 24,950,729,764
  5. Step 5: Solve for x
    x = 24,950,729,764/72,982
  6. Step 6: Final answer
    x = 341,875.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.