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Finding the Third Proportional to 54,324 and 83,944

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Solution

The third proportional to 54,324 and 83,944 is: 129,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 83,944 = 83,944 : x
  2. Step 2: Convert to fraction form
    54,324/83,944 = 83,944/x
  3. Step 3: Cross multiply
    54,324x = 83,944 × 83,944
  4. Step 4: Simplify right side
    54,324x = 7,046,595,136
  5. Step 5: Solve for x
    x = 7,046,595,136/54,324
  6. Step 6: Final answer
    x = 129,714.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.