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Finding the Third Proportional to 54,490 and 83,319

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Solution

The third proportional to 54,490 and 83,319 is: 127,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490 : 83,319 = 83,319 : x
  2. Step 2: Convert to fraction form
    54,490/83,319 = 83,319/x
  3. Step 3: Cross multiply
    54,490x = 83,319 × 83,319
  4. Step 4: Simplify right side
    54,490x = 6,942,055,761
  5. Step 5: Solve for x
    x = 6,942,055,761/54,490
  6. Step 6: Final answer
    x = 127,400.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.