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Finding the Third Proportional to 54,328.96 and 83,108.21

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Solution

The third proportional to 54,328.96 and 83,108.21 is: 127,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328.96 : 83,108.21 = 83,108.21 : x
  2. Step 2: Convert to fraction form
    54,328.96/83,108.21 = 83,108.21/x
  3. Step 3: Cross multiply
    54,328.96x = 83,108.21 × 83,108.21
  4. Step 4: Simplify right side
    54,328.96x = 6,906,975,374.51
  5. Step 5: Solve for x
    x = 6,906,975,374.51/54,328.96
  6. Step 6: Final answer
    x = 127,132.49

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1.5x scale

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.