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Finding the Third Proportional to 34,375 and 74,363

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Solution

The third proportional to 34,375 and 74,363 is: 160,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375 : 74,363 = 74,363 : x
  2. Step 2: Convert to fraction form
    34,375/74,363 = 74,363/x
  3. Step 3: Cross multiply
    34,375x = 74,363 × 74,363
  4. Step 4: Simplify right side
    34,375x = 5,529,855,769
  5. Step 5: Solve for x
    x = 5,529,855,769/34,375
  6. Step 6: Final answer
    x = 160,868.53

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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.