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Finding the Third Proportional to 103,240 and 157,822

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Solution

The third proportional to 103,240 and 157,822 is: 241,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,240 : 157,822 = 157,822 : x
  2. Step 2: Convert to fraction form
    103,240/157,822 = 157,822/x
  3. Step 3: Cross multiply
    103,240x = 157,822 × 157,822
  4. Step 4: Simplify right side
    103,240x = 24,907,783,684
  5. Step 5: Solve for x
    x = 24,907,783,684/103,240
  6. Step 6: Final answer
    x = 241,260.98

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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.