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Finding the Third Proportional to 64,858 and 142,018

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Solution

The third proportional to 64,858 and 142,018 is: 310,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 142,018 = 142,018 : x
  2. Step 2: Convert to fraction form
    64,858/142,018 = 142,018/x
  3. Step 3: Cross multiply
    64,858x = 142,018 × 142,018
  4. Step 4: Simplify right side
    64,858x = 20,169,112,324
  5. Step 5: Solve for x
    x = 20,169,112,324/64,858
  6. Step 6: Final answer
    x = 310,973.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.