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Finding the Third Proportional to 73,065 and 157,416

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Solution

The third proportional to 73,065 and 157,416 is: 339,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065 : 157,416 = 157,416 : x
  2. Step 2: Convert to fraction form
    73,065/157,416 = 157,416/x
  3. Step 3: Cross multiply
    73,065x = 157,416 × 157,416
  4. Step 4: Simplify right side
    73,065x = 24,779,797,056
  5. Step 5: Solve for x
    x = 24,779,797,056/73,065
  6. Step 6: Final answer
    x = 339,147.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.