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Finding the Third Proportional to 103,410 and 158,092

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Solution

The third proportional to 103,410 and 158,092 is: 241,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410 : 158,092 = 158,092 : x
  2. Step 2: Convert to fraction form
    103,410/158,092 = 158,092/x
  3. Step 3: Cross multiply
    103,410x = 158,092 × 158,092
  4. Step 4: Simplify right side
    103,410x = 24,993,080,464
  5. Step 5: Solve for x
    x = 24,993,080,464/103,410
  6. Step 6: Final answer
    x = 241,689.20

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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.