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Finding the Third Proportional to 63,135 and 105,212

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Solution

The third proportional to 63,135 and 105,212 is: 175,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,135 : 105,212 = 105,212 : x
  2. Step 2: Convert to fraction form
    63,135/105,212 = 105,212/x
  3. Step 3: Cross multiply
    63,135x = 105,212 × 105,212
  4. Step 4: Simplify right side
    63,135x = 11,069,564,944
  5. Step 5: Solve for x
    x = 11,069,564,944/63,135
  6. Step 6: Final answer
    x = 175,331.67

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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.