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Finding the Third Proportional to 102,827 and 153,392

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Solution

The third proportional to 102,827 and 153,392 is: 228,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,827 : 153,392 = 153,392 : x
  2. Step 2: Convert to fraction form
    102,827/153,392 = 153,392/x
  3. Step 3: Cross multiply
    102,827x = 153,392 × 153,392
  4. Step 4: Simplify right side
    102,827x = 23,529,105,664
  5. Step 5: Solve for x
    x = 23,529,105,664/102,827
  6. Step 6: Final answer
    x = 228,822.25

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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.