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Finding the Third Proportional to 107,092 and 233,251

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Solution

The third proportional to 107,092 and 233,251 is: 508,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092 : 233,251 = 233,251 : x
  2. Step 2: Convert to fraction form
    107,092/233,251 = 233,251/x
  3. Step 3: Cross multiply
    107,092x = 233,251 × 233,251
  4. Step 4: Simplify right side
    107,092x = 54,406,029,001
  5. Step 5: Solve for x
    x = 54,406,029,001/107,092
  6. Step 6: Final answer
    x = 508,030.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.