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Finding the Third Proportional to 48,934.13 and 105,887.25

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Solution

The third proportional to 48,934.13 and 105,887.25 is: 229,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934.13 : 105,887.25 = 105,887.25 : x
  2. Step 2: Convert to fraction form
    48,934.13/105,887.25 = 105,887.25/x
  3. Step 3: Cross multiply
    48,934.13x = 105,887.25 × 105,887.25
  4. Step 4: Simplify right side
    48,934.13x = 11,212,109,712.56
  5. Step 5: Solve for x
    x = 11,212,109,712.56/48,934.13
  6. Step 6: Final answer
    x = 229,126.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.