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Finding the Third Proportional to 102,573 and 157,447.13

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Solution

The third proportional to 102,573 and 157,447.13 is: 241,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,573 : 157,447.13 = 157,447.13 : x
  2. Step 2: Convert to fraction form
    102,573/157,447.13 = 157,447.13/x
  3. Step 3: Cross multiply
    102,573x = 157,447.13 × 157,447.13
  4. Step 4: Simplify right side
    102,573x = 24,789,597,170.77
  5. Step 5: Solve for x
    x = 24,789,597,170.77/102,573
  6. Step 6: Final answer
    x = 241,677.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.