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Finding the Third Proportional to 102,115.69 and 236,013.75

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Solution

The third proportional to 102,115.69 and 236,013.75 is: 545,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 236,013.75 = 236,013.75 : x
  2. Step 2: Convert to fraction form
    102,115.69/236,013.75 = 236,013.75/x
  3. Step 3: Cross multiply
    102,115.69x = 236,013.75 × 236,013.75
  4. Step 4: Simplify right side
    102,115.69x = 55,702,490,189.06
  5. Step 5: Solve for x
    x = 55,702,490,189.06/102,115.69
  6. Step 6: Final answer
    x = 545,484.16

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.