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Finding the Third Proportional to 68,310 and 101,764

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Solution

The third proportional to 68,310 and 101,764 is: 151,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310 : 101,764 = 101,764 : x
  2. Step 2: Convert to fraction form
    68,310/101,764 = 101,764/x
  3. Step 3: Cross multiply
    68,310x = 101,764 × 101,764
  4. Step 4: Simplify right side
    68,310x = 10,355,911,696
  5. Step 5: Solve for x
    x = 10,355,911,696/68,310
  6. Step 6: Final answer
    x = 151,601.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.