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Finding the Third Proportional to 107,293 and 157,654

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Solution

The third proportional to 107,293 and 157,654 is: 231,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,293 : 157,654 = 157,654 : x
  2. Step 2: Convert to fraction form
    107,293/157,654 = 157,654/x
  3. Step 3: Cross multiply
    107,293x = 157,654 × 157,654
  4. Step 4: Simplify right side
    107,293x = 24,854,783,716
  5. Step 5: Solve for x
    x = 24,854,783,716/107,293
  6. Step 6: Final answer
    x = 231,653.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.