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Finding the Third Proportional to 103,658 and 158,489

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Solution

The third proportional to 103,658 and 158,489 is: 242,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 158,489 = 158,489 : x
  2. Step 2: Convert to fraction form
    103,658/158,489 = 158,489/x
  3. Step 3: Cross multiply
    103,658x = 158,489 × 158,489
  4. Step 4: Simplify right side
    103,658x = 25,118,763,121
  5. Step 5: Solve for x
    x = 25,118,763,121/103,658
  6. Step 6: Final answer
    x = 242,323.44

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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.