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Finding the Third Proportional to 68,854 and 104,658

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Solution

The third proportional to 68,854 and 104,658 is: 159,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,854 : 104,658 = 104,658 : x
  2. Step 2: Convert to fraction form
    68,854/104,658 = 104,658/x
  3. Step 3: Cross multiply
    68,854x = 104,658 × 104,658
  4. Step 4: Simplify right side
    68,854x = 10,953,296,964
  5. Step 5: Solve for x
    x = 10,953,296,964/68,854
  6. Step 6: Final answer
    x = 159,080.04

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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.