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Finding the Third Proportional to 34,554 and 75,363

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Solution

The third proportional to 34,554 and 75,363 is: 164,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554 : 75,363 = 75,363 : x
  2. Step 2: Convert to fraction form
    34,554/75,363 = 75,363/x
  3. Step 3: Cross multiply
    34,554x = 75,363 × 75,363
  4. Step 4: Simplify right side
    34,554x = 5,679,581,769
  5. Step 5: Solve for x
    x = 5,679,581,769/34,554
  6. Step 6: Final answer
    x = 164,368.29

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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.