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Finding the Third Proportional to 103,837 and 157,808

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Solution

The third proportional to 103,837 and 157,808 is: 239,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,837 : 157,808 = 157,808 : x
  2. Step 2: Convert to fraction form
    103,837/157,808 = 157,808/x
  3. Step 3: Cross multiply
    103,837x = 157,808 × 157,808
  4. Step 4: Simplify right side
    103,837x = 24,903,364,864
  5. Step 5: Solve for x
    x = 24,903,364,864/103,837
  6. Step 6: Final answer
    x = 239,831.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.