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Finding the Third Proportional to 64,628 and 138,616

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Solution

The third proportional to 64,628 and 138,616 is: 297,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,628 : 138,616 = 138,616 : x
  2. Step 2: Convert to fraction form
    64,628/138,616 = 138,616/x
  3. Step 3: Cross multiply
    64,628x = 138,616 × 138,616
  4. Step 4: Simplify right side
    64,628x = 19,214,395,456
  5. Step 5: Solve for x
    x = 19,214,395,456/64,628
  6. Step 6: Final answer
    x = 297,307.60

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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.