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Finding the Third Proportional to 64,068 and 153,018

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Solution

The third proportional to 64,068 and 153,018 is: 365,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,068 : 153,018 = 153,018 : x
  2. Step 2: Convert to fraction form
    64,068/153,018 = 153,018/x
  3. Step 3: Cross multiply
    64,068x = 153,018 × 153,018
  4. Step 4: Simplify right side
    64,068x = 23,414,508,324
  5. Step 5: Solve for x
    x = 23,414,508,324/64,068
  6. Step 6: Final answer
    x = 365,463.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.