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Finding the Third Proportional to 103,244 and 157,828

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Solution

The third proportional to 103,244 and 157,828 is: 241,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,244 : 157,828 = 157,828 : x
  2. Step 2: Convert to fraction form
    103,244/157,828 = 157,828/x
  3. Step 3: Cross multiply
    103,244x = 157,828 × 157,828
  4. Step 4: Simplify right side
    103,244x = 24,909,677,584
  5. Step 5: Solve for x
    x = 24,909,677,584/103,244
  6. Step 6: Final answer
    x = 241,269.98

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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.