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Finding the Third Proportional to 54,704 and 89,319

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Solution

The third proportional to 54,704 and 89,319 is: 145,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704 : 89,319 = 89,319 : x
  2. Step 2: Convert to fraction form
    54,704/89,319 = 89,319/x
  3. Step 3: Cross multiply
    54,704x = 89,319 × 89,319
  4. Step 4: Simplify right side
    54,704x = 7,977,883,761
  5. Step 5: Solve for x
    x = 7,977,883,761/54,704
  6. Step 6: Final answer
    x = 145,837.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.