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Finding the Third Proportional to 75,004 and 109,544.25

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Solution

The third proportional to 75,004 and 109,544.25 is: 159,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004 : 109,544.25 = 109,544.25 : x
  2. Step 2: Convert to fraction form
    75,004/109,544.25 = 109,544.25/x
  3. Step 3: Cross multiply
    75,004x = 109,544.25 × 109,544.25
  4. Step 4: Simplify right side
    75,004x = 11,999,942,708.06
  5. Step 5: Solve for x
    x = 11,999,942,708.06/75,004
  6. Step 6: Final answer
    x = 159,990.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.