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Finding the Third Proportional to 54,315.42 and 79,528.78

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Solution

The third proportional to 54,315.42 and 79,528.78 is: 116,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315.42 : 79,528.78 = 79,528.78 : x
  2. Step 2: Convert to fraction form
    54,315.42/79,528.78 = 79,528.78/x
  3. Step 3: Cross multiply
    54,315.42x = 79,528.78 × 79,528.78
  4. Step 4: Simplify right side
    54,315.42x = 6,324,827,047.11
  5. Step 5: Solve for x
    x = 6,324,827,047.11/54,315.42
  6. Step 6: Final answer
    x = 116,446.25

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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.