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Finding the Third Proportional to 64,464 and 91,296

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Solution

The third proportional to 64,464 and 91,296 is: 129,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464 : 91,296 = 91,296 : x
  2. Step 2: Convert to fraction form
    64,464/91,296 = 91,296/x
  3. Step 3: Cross multiply
    64,464x = 91,296 × 91,296
  4. Step 4: Simplify right side
    64,464x = 8,334,959,616
  5. Step 5: Solve for x
    x = 8,334,959,616/64,464
  6. Step 6: Final answer
    x = 129,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.