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Finding the Third Proportional to 67,927.50 and 147,525.75

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Solution

The third proportional to 67,927.50 and 147,525.75 is: 320,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,927.50 : 147,525.75 = 147,525.75 : x
  2. Step 2: Convert to fraction form
    67,927.50/147,525.75 = 147,525.75/x
  3. Step 3: Cross multiply
    67,927.50x = 147,525.75 × 147,525.75
  4. Step 4: Simplify right side
    67,927.50x = 21,763,846,913.06
  5. Step 5: Solve for x
    x = 21,763,846,913.06/67,927.50
  6. Step 6: Final answer
    x = 320,398.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.