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Finding the Third Proportional to 48,097.13 and 105,239.25

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Solution

The third proportional to 48,097.13 and 105,239.25 is: 230,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,097.13 : 105,239.25 = 105,239.25 : x
  2. Step 2: Convert to fraction form
    48,097.13/105,239.25 = 105,239.25/x
  3. Step 3: Cross multiply
    48,097.13x = 105,239.25 × 105,239.25
  4. Step 4: Simplify right side
    48,097.13x = 11,075,299,740.56
  5. Step 5: Solve for x
    x = 11,075,299,740.56/48,097.13
  6. Step 6: Final answer
    x = 230,269.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.