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Finding the Third Proportional to 113,192 and 243,088

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Solution

The third proportional to 113,192 and 243,088 is: 522,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,192 : 243,088 = 243,088 : x
  2. Step 2: Convert to fraction form
    113,192/243,088 = 243,088/x
  3. Step 3: Cross multiply
    113,192x = 243,088 × 243,088
  4. Step 4: Simplify right side
    113,192x = 59,091,775,744
  5. Step 5: Solve for x
    x = 59,091,775,744/113,192
  6. Step 6: Final answer
    x = 522,049.05

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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.