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Finding the Third Proportional to 70,807.50 and 115,027.50

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Solution

The third proportional to 70,807.50 and 115,027.50 is: 186,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.50 : 115,027.50 = 115,027.50 : x
  2. Step 2: Convert to fraction form
    70,807.50/115,027.50 = 115,027.50/x
  3. Step 3: Cross multiply
    70,807.50x = 115,027.50 × 115,027.50
  4. Step 4: Simplify right side
    70,807.50x = 13,231,325,756.25
  5. Step 5: Solve for x
    x = 13,231,325,756.25/70,807.50
  6. Step 6: Final answer
    x = 186,863.34

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.