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Finding the Third Proportional to 52,547 and 79,366

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Solution

The third proportional to 52,547 and 79,366 is: 119,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547 : 79,366 = 79,366 : x
  2. Step 2: Convert to fraction form
    52,547/79,366 = 79,366/x
  3. Step 3: Cross multiply
    52,547x = 79,366 × 79,366
  4. Step 4: Simplify right side
    52,547x = 6,298,961,956
  5. Step 5: Solve for x
    x = 6,298,961,956/52,547
  6. Step 6: Final answer
    x = 119,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.