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Finding the Third Proportional to 115,087 and 175,034

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Solution

The third proportional to 115,087 and 175,034 is: 266,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,087 : 175,034 = 175,034 : x
  2. Step 2: Convert to fraction form
    115,087/175,034 = 175,034/x
  3. Step 3: Cross multiply
    115,087x = 175,034 × 175,034
  4. Step 4: Simplify right side
    115,087x = 30,636,901,156
  5. Step 5: Solve for x
    x = 30,636,901,156/115,087
  6. Step 6: Final answer
    x = 266,206.45

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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.