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Finding the Third Proportional to 103,288 and 157,904

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Solution

The third proportional to 103,288 and 157,904 is: 241,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288 : 157,904 = 157,904 : x
  2. Step 2: Convert to fraction form
    103,288/157,904 = 157,904/x
  3. Step 3: Cross multiply
    103,288x = 157,904 × 157,904
  4. Step 4: Simplify right side
    103,288x = 24,933,673,216
  5. Step 5: Solve for x
    x = 24,933,673,216/103,288
  6. Step 6: Final answer
    x = 241,399.52

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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.