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Finding the Third Proportional to 103,264 and 158,808

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Solution

The third proportional to 103,264 and 158,808 is: 244,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,264 : 158,808 = 158,808 : x
  2. Step 2: Convert to fraction form
    103,264/158,808 = 158,808/x
  3. Step 3: Cross multiply
    103,264x = 158,808 × 158,808
  4. Step 4: Simplify right side
    103,264x = 25,219,980,864
  5. Step 5: Solve for x
    x = 25,219,980,864/103,264
  6. Step 6: Final answer
    x = 244,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.