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Finding the Third Proportional to 74,897 and 160,018

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Solution

The third proportional to 74,897 and 160,018 is: 341,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,897 : 160,018 = 160,018 : x
  2. Step 2: Convert to fraction form
    74,897/160,018 = 160,018/x
  3. Step 3: Cross multiply
    74,897x = 160,018 × 160,018
  4. Step 4: Simplify right side
    74,897x = 25,605,760,324
  5. Step 5: Solve for x
    x = 25,605,760,324/74,897
  6. Step 6: Final answer
    x = 341,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.