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Finding the Third Proportional to 54,637 and 82,340

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Solution

The third proportional to 54,637 and 82,340 is: 124,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637 : 82,340 = 82,340 : x
  2. Step 2: Convert to fraction form
    54,637/82,340 = 82,340/x
  3. Step 3: Cross multiply
    54,637x = 82,340 × 82,340
  4. Step 4: Simplify right side
    54,637x = 6,779,875,600
  5. Step 5: Solve for x
    x = 6,779,875,600/54,637
  6. Step 6: Final answer
    x = 124,089.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.