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Finding the Third Proportional to 101,061 and 168,423.50

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Solution

The third proportional to 101,061 and 168,423.50 is: 280,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,061 : 168,423.50 = 168,423.50 : x
  2. Step 2: Convert to fraction form
    101,061/168,423.50 = 168,423.50/x
  3. Step 3: Cross multiply
    101,061x = 168,423.50 × 168,423.50
  4. Step 4: Simplify right side
    101,061x = 28,366,475,352.25
  5. Step 5: Solve for x
    x = 28,366,475,352.25/101,061
  6. Step 6: Final answer
    x = 280,686.67

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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.