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Finding the Third Proportional to 54,550 and 83,409

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Solution

The third proportional to 54,550 and 83,409 is: 127,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,550 : 83,409 = 83,409 : x
  2. Step 2: Convert to fraction form
    54,550/83,409 = 83,409/x
  3. Step 3: Cross multiply
    54,550x = 83,409 × 83,409
  4. Step 4: Simplify right side
    54,550x = 6,957,061,281
  5. Step 5: Solve for x
    x = 6,957,061,281/54,550
  6. Step 6: Final answer
    x = 127,535.50

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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.