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Finding the Third Proportional to 75,844 and 163,316

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Solution

The third proportional to 75,844 and 163,316 is: 351,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,844 : 163,316 = 163,316 : x
  2. Step 2: Convert to fraction form
    75,844/163,316 = 163,316/x
  3. Step 3: Cross multiply
    75,844x = 163,316 × 163,316
  4. Step 4: Simplify right side
    75,844x = 26,672,115,856
  5. Step 5: Solve for x
    x = 26,672,115,856/75,844
  6. Step 6: Final answer
    x = 351,670.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.