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Finding the Third Proportional to 37,320.75 and 78,099.19

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Solution

The third proportional to 37,320.75 and 78,099.19 is: 163,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320.75 : 78,099.19 = 78,099.19 : x
  2. Step 2: Convert to fraction form
    37,320.75/78,099.19 = 78,099.19/x
  3. Step 3: Cross multiply
    37,320.75x = 78,099.19 × 78,099.19
  4. Step 4: Simplify right side
    37,320.75x = 6,099,483,088.16
  5. Step 5: Solve for x
    x = 6,099,483,088.16/37,320.75
  6. Step 6: Final answer
    x = 163,434.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.