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Finding the Third Proportional to 118,410 and 175,811

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Solution

The third proportional to 118,410 and 175,811 is: 261,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,410 : 175,811 = 175,811 : x
  2. Step 2: Convert to fraction form
    118,410/175,811 = 175,811/x
  3. Step 3: Cross multiply
    118,410x = 175,811 × 175,811
  4. Step 4: Simplify right side
    118,410x = 30,909,507,721
  5. Step 5: Solve for x
    x = 30,909,507,721/118,410
  6. Step 6: Final answer
    x = 261,037.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.