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Finding the Third Proportional to 54,374 and 76,572

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Solution

The third proportional to 54,374 and 76,572 is: 107,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,374 : 76,572 = 76,572 : x
  2. Step 2: Convert to fraction form
    54,374/76,572 = 76,572/x
  3. Step 3: Cross multiply
    54,374x = 76,572 × 76,572
  4. Step 4: Simplify right side
    54,374x = 5,863,271,184
  5. Step 5: Solve for x
    x = 5,863,271,184/54,374
  6. Step 6: Final answer
    x = 107,832.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.