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Finding the Third Proportional to 75,089 and 133,482

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Solution

The third proportional to 75,089 and 133,482 is: 237,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,089 : 133,482 = 133,482 : x
  2. Step 2: Convert to fraction form
    75,089/133,482 = 133,482/x
  3. Step 3: Cross multiply
    75,089x = 133,482 × 133,482
  4. Step 4: Simplify right side
    75,089x = 17,817,444,324
  5. Step 5: Solve for x
    x = 17,817,444,324/75,089
  6. Step 6: Final answer
    x = 237,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.