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Finding the Third Proportional to 48,558 and 100,487

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Solution

The third proportional to 48,558 and 100,487 is: 207,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,558 : 100,487 = 100,487 : x
  2. Step 2: Convert to fraction form
    48,558/100,487 = 100,487/x
  3. Step 3: Cross multiply
    48,558x = 100,487 × 100,487
  4. Step 4: Simplify right side
    48,558x = 10,097,637,169
  5. Step 5: Solve for x
    x = 10,097,637,169/48,558
  6. Step 6: Final answer
    x = 207,950.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.