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Finding the Third Proportional to 102,812.50 and 153,366

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Solution

The third proportional to 102,812.50 and 153,366 is: 228,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,812.50 : 153,366 = 153,366 : x
  2. Step 2: Convert to fraction form
    102,812.50/153,366 = 153,366/x
  3. Step 3: Cross multiply
    102,812.50x = 153,366 × 153,366
  4. Step 4: Simplify right side
    102,812.50x = 23,521,129,956
  5. Step 5: Solve for x
    x = 23,521,129,956/102,812.50
  6. Step 6: Final answer
    x = 228,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.