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Finding the Third Proportional to 73,320.19 and 102,325.78

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Solution

The third proportional to 73,320.19 and 102,325.78 is: 142,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,320.19 : 102,325.78 = 102,325.78 : x
  2. Step 2: Convert to fraction form
    73,320.19/102,325.78 = 102,325.78/x
  3. Step 3: Cross multiply
    73,320.19x = 102,325.78 × 102,325.78
  4. Step 4: Simplify right side
    73,320.19x = 10,470,565,508.42
  5. Step 5: Solve for x
    x = 10,470,565,508.42/73,320.19
  6. Step 6: Final answer
    x = 142,806.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.