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Finding the Third Proportional to 54,314 and 79,527

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Solution

The third proportional to 54,314 and 79,527 is: 116,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314 : 79,527 = 79,527 : x
  2. Step 2: Convert to fraction form
    54,314/79,527 = 79,527/x
  3. Step 3: Cross multiply
    54,314x = 79,527 × 79,527
  4. Step 4: Simplify right side
    54,314x = 6,324,543,729
  5. Step 5: Solve for x
    x = 6,324,543,729/54,314
  6. Step 6: Final answer
    x = 116,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.