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Finding the Third Proportional to 68,108.34 and 106,301.77

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Solution

The third proportional to 68,108.34 and 106,301.77 is: 165,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108.34 : 106,301.77 = 106,301.77 : x
  2. Step 2: Convert to fraction form
    68,108.34/106,301.77 = 106,301.77/x
  3. Step 3: Cross multiply
    68,108.34x = 106,301.77 × 106,301.77
  4. Step 4: Simplify right side
    68,108.34x = 11,300,065,374.99
  5. Step 5: Solve for x
    x = 11,300,065,374.99/68,108.34
  6. Step 6: Final answer
    x = 165,913.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.