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Finding the Third Proportional to 52,230 and 123,273

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Solution

The third proportional to 52,230 and 123,273 is: 290,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,230 : 123,273 = 123,273 : x
  2. Step 2: Convert to fraction form
    52,230/123,273 = 123,273/x
  3. Step 3: Cross multiply
    52,230x = 123,273 × 123,273
  4. Step 4: Simplify right side
    52,230x = 15,196,232,529
  5. Step 5: Solve for x
    x = 15,196,232,529/52,230
  6. Step 6: Final answer
    x = 290,948.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.