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Finding the Third Proportional to 52,316 and 107,414

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Solution

The third proportional to 52,316 and 107,414 is: 220,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316 : 107,414 = 107,414 : x
  2. Step 2: Convert to fraction form
    52,316/107,414 = 107,414/x
  3. Step 3: Cross multiply
    52,316x = 107,414 × 107,414
  4. Step 4: Simplify right side
    52,316x = 11,537,767,396
  5. Step 5: Solve for x
    x = 11,537,767,396/52,316
  6. Step 6: Final answer
    x = 220,539.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.