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Finding the Third Proportional to 74,941 and 156,808

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Solution

The third proportional to 74,941 and 156,808 is: 328,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,941 : 156,808 = 156,808 : x
  2. Step 2: Convert to fraction form
    74,941/156,808 = 156,808/x
  3. Step 3: Cross multiply
    74,941x = 156,808 × 156,808
  4. Step 4: Simplify right side
    74,941x = 24,588,748,864
  5. Step 5: Solve for x
    x = 24,588,748,864/74,941
  6. Step 6: Final answer
    x = 328,108.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.