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Finding the Third Proportional to 52,196 and 94,018

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Solution

The third proportional to 52,196 and 94,018 is: 169,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196 : 94,018 = 94,018 : x
  2. Step 2: Convert to fraction form
    52,196/94,018 = 94,018/x
  3. Step 3: Cross multiply
    52,196x = 94,018 × 94,018
  4. Step 4: Simplify right side
    52,196x = 8,839,384,324
  5. Step 5: Solve for x
    x = 8,839,384,324/52,196
  6. Step 6: Final answer
    x = 169,349.84

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.