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Finding the Third Proportional to 76,798.69 and 120,210.19

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Solution

The third proportional to 76,798.69 and 120,210.19 is: 188,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.69 : 120,210.19 = 120,210.19 : x
  2. Step 2: Convert to fraction form
    76,798.69/120,210.19 = 120,210.19/x
  3. Step 3: Cross multiply
    76,798.69x = 120,210.19 × 120,210.19
  4. Step 4: Simplify right side
    76,798.69x = 14,450,489,178.79
  5. Step 5: Solve for x
    x = 14,450,489,178.79/76,798.69
  6. Step 6: Final answer
    x = 188,160.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.