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Finding the Third Proportional to 102,018 and 158,349

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Solution

The third proportional to 102,018 and 158,349 is: 245,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 158,349 = 158,349 : x
  2. Step 2: Convert to fraction form
    102,018/158,349 = 158,349/x
  3. Step 3: Cross multiply
    102,018x = 158,349 × 158,349
  4. Step 4: Simplify right side
    102,018x = 25,074,405,801
  5. Step 5: Solve for x
    x = 25,074,405,801/102,018
  6. Step 6: Final answer
    x = 245,784.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.