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Finding the Third Proportional to 73,911 and 156,678

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Solution

The third proportional to 73,911 and 156,678 is: 332,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,911 : 156,678 = 156,678 : x
  2. Step 2: Convert to fraction form
    73,911/156,678 = 156,678/x
  3. Step 3: Cross multiply
    73,911x = 156,678 × 156,678
  4. Step 4: Simplify right side
    73,911x = 24,547,995,684
  5. Step 5: Solve for x
    x = 24,547,995,684/73,911
  6. Step 6: Final answer
    x = 332,129.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.