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Finding the Third Proportional to 34,374 and 74,361

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Solution

The third proportional to 34,374 and 74,361 is: 160,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374 : 74,361 = 74,361 : x
  2. Step 2: Convert to fraction form
    34,374/74,361 = 74,361/x
  3. Step 3: Cross multiply
    34,374x = 74,361 × 74,361
  4. Step 4: Simplify right side
    34,374x = 5,529,558,321
  5. Step 5: Solve for x
    x = 5,529,558,321/34,374
  6. Step 6: Final answer
    x = 160,864.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.