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Finding the Third Proportional to 43,415 and 88,038

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Solution

The third proportional to 43,415 and 88,038 is: 178,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415 : 88,038 = 88,038 : x
  2. Step 2: Convert to fraction form
    43,415/88,038 = 88,038/x
  3. Step 3: Cross multiply
    43,415x = 88,038 × 88,038
  4. Step 4: Simplify right side
    43,415x = 7,750,689,444
  5. Step 5: Solve for x
    x = 7,750,689,444/43,415
  6. Step 6: Final answer
    x = 178,525.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.