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Finding the Third Proportional to 78,002.44 and 111,466.13

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Solution

The third proportional to 78,002.44 and 111,466.13 is: 159,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.44 : 111,466.13 = 111,466.13 : x
  2. Step 2: Convert to fraction form
    78,002.44/111,466.13 = 111,466.13/x
  3. Step 3: Cross multiply
    78,002.44x = 111,466.13 × 111,466.13
  4. Step 4: Simplify right side
    78,002.44x = 12,424,697,022.52
  5. Step 5: Solve for x
    x = 12,424,697,022.52/78,002.44
  6. Step 6: Final answer
    x = 159,286.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.