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Finding the Third Proportional to 48,370 and 101,636

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Solution

The third proportional to 48,370 and 101,636 is: 213,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370 : 101,636 = 101,636 : x
  2. Step 2: Convert to fraction form
    48,370/101,636 = 101,636/x
  3. Step 3: Cross multiply
    48,370x = 101,636 × 101,636
  4. Step 4: Simplify right side
    48,370x = 10,329,876,496
  5. Step 5: Solve for x
    x = 10,329,876,496/48,370
  6. Step 6: Final answer
    x = 213,559.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.