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Finding the Third Proportional to 106,764.75 and 163,715.06

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Solution

The third proportional to 106,764.75 and 163,715.06 is: 251,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,764.75 : 163,715.06 = 163,715.06 : x
  2. Step 2: Convert to fraction form
    106,764.75/163,715.06 = 163,715.06/x
  3. Step 3: Cross multiply
    106,764.75x = 163,715.06 × 163,715.06
  4. Step 4: Simplify right side
    106,764.75x = 26,802,621,689.38
  5. Step 5: Solve for x
    x = 26,802,621,689.38/106,764.75
  6. Step 6: Final answer
    x = 251,043.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.