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Finding the Third Proportional to 75,342 and 164,414

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Solution

The third proportional to 75,342 and 164,414 is: 358,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 164,414 = 164,414 : x
  2. Step 2: Convert to fraction form
    75,342/164,414 = 164,414/x
  3. Step 3: Cross multiply
    75,342x = 164,414 × 164,414
  4. Step 4: Simplify right side
    75,342x = 27,031,963,396
  5. Step 5: Solve for x
    x = 27,031,963,396/75,342
  6. Step 6: Final answer
    x = 358,790.10

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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.