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Finding the Third Proportional to 52,018.13 and 122,719.13

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Solution

The third proportional to 52,018.13 and 122,719.13 is: 289,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018.13 : 122,719.13 = 122,719.13 : x
  2. Step 2: Convert to fraction form
    52,018.13/122,719.13 = 122,719.13/x
  3. Step 3: Cross multiply
    52,018.13x = 122,719.13 × 122,719.13
  4. Step 4: Simplify right side
    52,018.13x = 15,059,983,640.77
  5. Step 5: Solve for x
    x = 15,059,983,640.77/52,018.13
  6. Step 6: Final answer
    x = 289,514.16

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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.