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Finding the Third Proportional to 103,142 and 164,119

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Solution

The third proportional to 103,142 and 164,119 is: 261,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,142 : 164,119 = 164,119 : x
  2. Step 2: Convert to fraction form
    103,142/164,119 = 164,119/x
  3. Step 3: Cross multiply
    103,142x = 164,119 × 164,119
  4. Step 4: Simplify right side
    103,142x = 26,935,046,161
  5. Step 5: Solve for x
    x = 26,935,046,161/103,142
  6. Step 6: Final answer
    x = 261,145.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.