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Finding the Third Proportional to 85,552 and 134,384

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Solution

The third proportional to 85,552 and 134,384 is: 211,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,552 : 134,384 = 134,384 : x
  2. Step 2: Convert to fraction form
    85,552/134,384 = 134,384/x
  3. Step 3: Cross multiply
    85,552x = 134,384 × 134,384
  4. Step 4: Simplify right side
    85,552x = 18,059,059,456
  5. Step 5: Solve for x
    x = 18,059,059,456/85,552
  6. Step 6: Final answer
    x = 211,088.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.