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Finding the Third Proportional to 75,312 and 162,294

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Solution

The third proportional to 75,312 and 162,294 is: 349,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 162,294 = 162,294 : x
  2. Step 2: Convert to fraction form
    75,312/162,294 = 162,294/x
  3. Step 3: Cross multiply
    75,312x = 162,294 × 162,294
  4. Step 4: Simplify right side
    75,312x = 26,339,342,436
  5. Step 5: Solve for x
    x = 26,339,342,436/75,312
  6. Step 6: Final answer
    x = 349,736.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.