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Finding the Third Proportional to 54,140 and 83,324.50

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Solution

The third proportional to 54,140 and 83,324.50 is: 128,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140 : 83,324.50 = 83,324.50 : x
  2. Step 2: Convert to fraction form
    54,140/83,324.50 = 83,324.50/x
  3. Step 3: Cross multiply
    54,140x = 83,324.50 × 83,324.50
  4. Step 4: Simplify right side
    54,140x = 6,942,972,300.25
  5. Step 5: Solve for x
    x = 6,942,972,300.25/54,140
  6. Step 6: Final answer
    x = 128,241.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.