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Finding the Third Proportional to 49,152 and 105,473

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Solution

The third proportional to 49,152 and 105,473 is: 226,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152 : 105,473 = 105,473 : x
  2. Step 2: Convert to fraction form
    49,152/105,473 = 105,473/x
  3. Step 3: Cross multiply
    49,152x = 105,473 × 105,473
  4. Step 4: Simplify right side
    49,152x = 11,124,553,729
  5. Step 5: Solve for x
    x = 11,124,553,729/49,152
  6. Step 6: Final answer
    x = 226,329.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.