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Finding the Third Proportional to 78,823.13 and 121,150.69

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Solution

The third proportional to 78,823.13 and 121,150.69 is: 186,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.13 : 121,150.69 = 121,150.69 : x
  2. Step 2: Convert to fraction form
    78,823.13/121,150.69 = 121,150.69/x
  3. Step 3: Cross multiply
    78,823.13x = 121,150.69 × 121,150.69
  4. Step 4: Simplify right side
    78,823.13x = 14,677,489,081.72
  5. Step 5: Solve for x
    x = 14,677,489,081.72/78,823.13
  6. Step 6: Final answer
    x = 186,207.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.