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Finding the Third Proportional to 102,812 and 153,364

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Solution

The third proportional to 102,812 and 153,364 is: 228,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,812 : 153,364 = 153,364 : x
  2. Step 2: Convert to fraction form
    102,812/153,364 = 153,364/x
  3. Step 3: Cross multiply
    102,812x = 153,364 × 153,364
  4. Step 4: Simplify right side
    102,812x = 23,520,516,496
  5. Step 5: Solve for x
    x = 23,520,516,496/102,812
  6. Step 6: Final answer
    x = 228,772.09

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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.