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Finding the Third Proportional to 54,421 and 83,242.50

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Solution

The third proportional to 54,421 and 83,242.50 is: 127,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,421 : 83,242.50 = 83,242.50 : x
  2. Step 2: Convert to fraction form
    54,421/83,242.50 = 83,242.50/x
  3. Step 3: Cross multiply
    54,421x = 83,242.50 × 83,242.50
  4. Step 4: Simplify right side
    54,421x = 6,929,313,806.25
  5. Step 5: Solve for x
    x = 6,929,313,806.25/54,421
  6. Step 6: Final answer
    x = 127,327.94

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