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Finding the Third Proportional to 64,284 and 138,434

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Solution

The third proportional to 64,284 and 138,434 is: 298,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284 : 138,434 = 138,434 : x
  2. Step 2: Convert to fraction form
    64,284/138,434 = 138,434/x
  3. Step 3: Cross multiply
    64,284x = 138,434 × 138,434
  4. Step 4: Simplify right side
    64,284x = 19,163,972,356
  5. Step 5: Solve for x
    x = 19,163,972,356/64,284
  6. Step 6: Final answer
    x = 298,114.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.