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Finding the Third Proportional to 59,821 and 125,838.50

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Solution

The third proportional to 59,821 and 125,838.50 is: 264,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,821 : 125,838.50 = 125,838.50 : x
  2. Step 2: Convert to fraction form
    59,821/125,838.50 = 125,838.50/x
  3. Step 3: Cross multiply
    59,821x = 125,838.50 × 125,838.50
  4. Step 4: Simplify right side
    59,821x = 15,835,328,082.25
  5. Step 5: Solve for x
    x = 15,835,328,082.25/59,821
  6. Step 6: Final answer
    x = 264,711.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.