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Finding the Third Proportional to 102,592.50 and 157,593

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Solution

The third proportional to 102,592.50 and 157,593 is: 242,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,592.50 : 157,593 = 157,593 : x
  2. Step 2: Convert to fraction form
    102,592.50/157,593 = 157,593/x
  3. Step 3: Cross multiply
    102,592.50x = 157,593 × 157,593
  4. Step 4: Simplify right side
    102,592.50x = 24,835,553,649
  5. Step 5: Solve for x
    x = 24,835,553,649/102,592.50
  6. Step 6: Final answer
    x = 242,079.62

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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.