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Finding the Third Proportional to 75,281 and 110,844

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Solution

The third proportional to 75,281 and 110,844 is: 163,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 110,844 = 110,844 : x
  2. Step 2: Convert to fraction form
    75,281/110,844 = 110,844/x
  3. Step 3: Cross multiply
    75,281x = 110,844 × 110,844
  4. Step 4: Simplify right side
    75,281x = 12,286,392,336
  5. Step 5: Solve for x
    x = 12,286,392,336/75,281
  6. Step 6: Final answer
    x = 163,207.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.