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Finding the Third Proportional to 118,908.75 and 174,097.13

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Solution

The third proportional to 118,908.75 and 174,097.13 is: 254,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,908.75 : 174,097.13 = 174,097.13 : x
  2. Step 2: Convert to fraction form
    118,908.75/174,097.13 = 174,097.13/x
  3. Step 3: Cross multiply
    118,908.75x = 174,097.13 × 174,097.13
  4. Step 4: Simplify right side
    118,908.75x = 30,309,808,933.27
  5. Step 5: Solve for x
    x = 30,309,808,933.27/118,908.75
  6. Step 6: Final answer
    x = 254,899.74

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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.