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Finding the Third Proportional to 103,692 and 158,814

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Solution

The third proportional to 103,692 and 158,814 is: 243,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 158,814 = 158,814 : x
  2. Step 2: Convert to fraction form
    103,692/158,814 = 158,814/x
  3. Step 3: Cross multiply
    103,692x = 158,814 × 158,814
  4. Step 4: Simplify right side
    103,692x = 25,221,886,596
  5. Step 5: Solve for x
    x = 25,221,886,596/103,692
  6. Step 6: Final answer
    x = 243,238.50

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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.