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Finding the Third Proportional to 78,015.75 and 117,574.88

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Solution

The third proportional to 78,015.75 and 117,574.88 is: 177,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.75 : 117,574.88 = 117,574.88 : x
  2. Step 2: Convert to fraction form
    78,015.75/117,574.88 = 117,574.88/x
  3. Step 3: Cross multiply
    78,015.75x = 117,574.88 × 117,574.88
  4. Step 4: Simplify right side
    78,015.75x = 13,823,851,231.27
  5. Step 5: Solve for x
    x = 13,823,851,231.27/78,015.75
  6. Step 6: Final answer
    x = 177,193.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.