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Finding the Third Proportional to 46,614 and 97,782

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Solution

The third proportional to 46,614 and 97,782 is: 205,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614 : 97,782 = 97,782 : x
  2. Step 2: Convert to fraction form
    46,614/97,782 = 97,782/x
  3. Step 3: Cross multiply
    46,614x = 97,782 × 97,782
  4. Step 4: Simplify right side
    46,614x = 9,561,319,524
  5. Step 5: Solve for x
    x = 9,561,319,524/46,614
  6. Step 6: Final answer
    x = 205,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.