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Finding the Third Proportional to 78,435.84 and 117,832.64

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Solution

The third proportional to 78,435.84 and 117,832.64 is: 177,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,435.84 : 117,832.64 = 117,832.64 : x
  2. Step 2: Convert to fraction form
    78,435.84/117,832.64 = 117,832.64/x
  3. Step 3: Cross multiply
    78,435.84x = 117,832.64 × 117,832.64
  4. Step 4: Simplify right side
    78,435.84x = 13,884,531,196.66
  5. Step 5: Solve for x
    x = 13,884,531,196.66/78,435.84
  6. Step 6: Final answer
    x = 177,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.