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Finding the Third Proportional to 64,736 and 98,455

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Solution

The third proportional to 64,736 and 98,455 is: 149,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736 : 98,455 = 98,455 : x
  2. Step 2: Convert to fraction form
    64,736/98,455 = 98,455/x
  3. Step 3: Cross multiply
    64,736x = 98,455 × 98,455
  4. Step 4: Simplify right side
    64,736x = 9,693,387,025
  5. Step 5: Solve for x
    x = 9,693,387,025/64,736
  6. Step 6: Final answer
    x = 149,737.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.