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Finding the Third Proportional to 35,088.75 and 72,240.75

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Solution

The third proportional to 35,088.75 and 72,240.75 is: 148,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,088.75 : 72,240.75 = 72,240.75 : x
  2. Step 2: Convert to fraction form
    35,088.75/72,240.75 = 72,240.75/x
  3. Step 3: Cross multiply
    35,088.75x = 72,240.75 × 72,240.75
  4. Step 4: Simplify right side
    35,088.75x = 5,218,725,960.56
  5. Step 5: Solve for x
    x = 5,218,725,960.56/35,088.75
  6. Step 6: Final answer
    x = 148,729.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.