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Finding the Third Proportional to 34,088 and 74,491

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Solution

The third proportional to 34,088 and 74,491 is: 162,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088 : 74,491 = 74,491 : x
  2. Step 2: Convert to fraction form
    34,088/74,491 = 74,491/x
  3. Step 3: Cross multiply
    34,088x = 74,491 × 74,491
  4. Step 4: Simplify right side
    34,088x = 5,548,909,081
  5. Step 5: Solve for x
    x = 5,548,909,081/34,088
  6. Step 6: Final answer
    x = 162,781.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.