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Finding the Third Proportional to 115,014.66 and 174,591.28

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Solution

The third proportional to 115,014.66 and 174,591.28 is: 265,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,014.66 : 174,591.28 = 174,591.28 : x
  2. Step 2: Convert to fraction form
    115,014.66/174,591.28 = 174,591.28/x
  3. Step 3: Cross multiply
    115,014.66x = 174,591.28 × 174,591.28
  4. Step 4: Simplify right side
    115,014.66x = 30,482,115,488.52
  5. Step 5: Solve for x
    x = 30,482,115,488.52/115,014.66
  6. Step 6: Final answer
    x = 265,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.