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Finding the Third Proportional to 52,490 and 111,460

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Solution

The third proportional to 52,490 and 111,460 is: 236,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490 : 111,460 = 111,460 : x
  2. Step 2: Convert to fraction form
    52,490/111,460 = 111,460/x
  3. Step 3: Cross multiply
    52,490x = 111,460 × 111,460
  4. Step 4: Simplify right side
    52,490x = 12,423,331,600
  5. Step 5: Solve for x
    x = 12,423,331,600/52,490
  6. Step 6: Final answer
    x = 236,679.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.