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Finding the Third Proportional to 54,220.50 and 83,444.50

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Solution

The third proportional to 54,220.50 and 83,444.50 is: 128,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,220.50 : 83,444.50 = 83,444.50 : x
  2. Step 2: Convert to fraction form
    54,220.50/83,444.50 = 83,444.50/x
  3. Step 3: Cross multiply
    54,220.50x = 83,444.50 × 83,444.50
  4. Step 4: Simplify right side
    54,220.50x = 6,962,984,580.25
  5. Step 5: Solve for x
    x = 6,962,984,580.25/54,220.50
  6. Step 6: Final answer
    x = 128,419.78

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1.5x scale

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.