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Finding the Third Proportional to 105,060 and 154,134

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Solution

The third proportional to 105,060 and 154,134 is: 226,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,060 : 154,134 = 154,134 : x
  2. Step 2: Convert to fraction form
    105,060/154,134 = 154,134/x
  3. Step 3: Cross multiply
    105,060x = 154,134 × 154,134
  4. Step 4: Simplify right side
    105,060x = 23,757,289,956
  5. Step 5: Solve for x
    x = 23,757,289,956/105,060
  6. Step 6: Final answer
    x = 226,130.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.