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Finding the Third Proportional to 49,363 and 72,201

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Solution

The third proportional to 49,363 and 72,201 is: 105,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,363 : 72,201 = 72,201 : x
  2. Step 2: Convert to fraction form
    49,363/72,201 = 72,201/x
  3. Step 3: Cross multiply
    49,363x = 72,201 × 72,201
  4. Step 4: Simplify right side
    49,363x = 5,212,984,401
  5. Step 5: Solve for x
    x = 5,212,984,401/49,363
  6. Step 6: Final answer
    x = 105,605.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.