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Finding the Third Proportional to 52,010 and 122,654

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Solution

The third proportional to 52,010 and 122,654 is: 289,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 122,654 = 122,654 : x
  2. Step 2: Convert to fraction form
    52,010/122,654 = 122,654/x
  3. Step 3: Cross multiply
    52,010x = 122,654 × 122,654
  4. Step 4: Simplify right side
    52,010x = 15,044,003,716
  5. Step 5: Solve for x
    x = 15,044,003,716/52,010
  6. Step 6: Final answer
    x = 289,252.14

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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.