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Finding the Third Proportional to 63,074 and 105,119

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Solution

The third proportional to 63,074 and 105,119 is: 175,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,074 : 105,119 = 105,119 : x
  2. Step 2: Convert to fraction form
    63,074/105,119 = 105,119/x
  3. Step 3: Cross multiply
    63,074x = 105,119 × 105,119
  4. Step 4: Simplify right side
    63,074x = 11,050,004,161
  5. Step 5: Solve for x
    x = 11,050,004,161/63,074
  6. Step 6: Final answer
    x = 175,191.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.