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Finding the Third Proportional to 54,398 and 83,637

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Solution

The third proportional to 54,398 and 83,637 is: 128,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,398 : 83,637 = 83,637 : x
  2. Step 2: Convert to fraction form
    54,398/83,637 = 83,637/x
  3. Step 3: Cross multiply
    54,398x = 83,637 × 83,637
  4. Step 4: Simplify right side
    54,398x = 6,995,147,769
  5. Step 5: Solve for x
    x = 6,995,147,769/54,398
  6. Step 6: Final answer
    x = 128,592.00

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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.