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Finding the Third Proportional to 64,310 and 91,736

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Solution

The third proportional to 64,310 and 91,736 is: 130,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,310 : 91,736 = 91,736 : x
  2. Step 2: Convert to fraction form
    64,310/91,736 = 91,736/x
  3. Step 3: Cross multiply
    64,310x = 91,736 × 91,736
  4. Step 4: Simplify right side
    64,310x = 8,415,493,696
  5. Step 5: Solve for x
    x = 8,415,493,696/64,310
  6. Step 6: Final answer
    x = 130,858.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.