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Finding the Third Proportional to 34,323 and 75,207

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Solution

The third proportional to 34,323 and 75,207 is: 164,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,323 : 75,207 = 75,207 : x
  2. Step 2: Convert to fraction form
    34,323/75,207 = 75,207/x
  3. Step 3: Cross multiply
    34,323x = 75,207 × 75,207
  4. Step 4: Simplify right side
    34,323x = 5,656,092,849
  5. Step 5: Solve for x
    x = 5,656,092,849/34,323
  6. Step 6: Final answer
    x = 164,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.