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Finding the Third Proportional to 48,523 and 105,590

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Solution

The third proportional to 48,523 and 105,590 is: 229,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,523 : 105,590 = 105,590 : x
  2. Step 2: Convert to fraction form
    48,523/105,590 = 105,590/x
  3. Step 3: Cross multiply
    48,523x = 105,590 × 105,590
  4. Step 4: Simplify right side
    48,523x = 11,149,248,100
  5. Step 5: Solve for x
    x = 11,149,248,100/48,523
  6. Step 6: Final answer
    x = 229,772.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.