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Finding the Third Proportional to 62,164 and 79,854

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Solution

The third proportional to 62,164 and 79,854 is: 102,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164 : 79,854 = 79,854 : x
  2. Step 2: Convert to fraction form
    62,164/79,854 = 79,854/x
  3. Step 3: Cross multiply
    62,164x = 79,854 × 79,854
  4. Step 4: Simplify right side
    62,164x = 6,376,661,316
  5. Step 5: Solve for x
    x = 6,376,661,316/62,164
  6. Step 6: Final answer
    x = 102,578.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.