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Finding the Third Proportional to 74,202 and 152,049

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Solution

The third proportional to 74,202 and 152,049 is: 311,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202 : 152,049 = 152,049 : x
  2. Step 2: Convert to fraction form
    74,202/152,049 = 152,049/x
  3. Step 3: Cross multiply
    74,202x = 152,049 × 152,049
  4. Step 4: Simplify right side
    74,202x = 23,118,898,401
  5. Step 5: Solve for x
    x = 23,118,898,401/74,202
  6. Step 6: Final answer
    x = 311,567.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.