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Finding the Third Proportional to 74,421 and 162,207

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Solution

The third proportional to 74,421 and 162,207 is: 353,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,421 : 162,207 = 162,207 : x
  2. Step 2: Convert to fraction form
    74,421/162,207 = 162,207/x
  3. Step 3: Cross multiply
    74,421x = 162,207 × 162,207
  4. Step 4: Simplify right side
    74,421x = 26,311,110,849
  5. Step 5: Solve for x
    x = 26,311,110,849/74,421
  6. Step 6: Final answer
    x = 353,544.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.