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Finding the Third Proportional to 102,600 and 157,599

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Solution

The third proportional to 102,600 and 157,599 is: 242,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 157,599 = 157,599 : x
  2. Step 2: Convert to fraction form
    102,600/157,599 = 157,599/x
  3. Step 3: Cross multiply
    102,600x = 157,599 × 157,599
  4. Step 4: Simplify right side
    102,600x = 24,837,444,801
  5. Step 5: Solve for x
    x = 24,837,444,801/102,600
  6. Step 6: Final answer
    x = 242,080.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.