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Finding the Third Proportional to 59,445 and 120,965.50

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Solution

The third proportional to 59,445 and 120,965.50 is: 246,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,445 : 120,965.50 = 120,965.50 : x
  2. Step 2: Convert to fraction form
    59,445/120,965.50 = 120,965.50/x
  3. Step 3: Cross multiply
    59,445x = 120,965.50 × 120,965.50
  4. Step 4: Simplify right side
    59,445x = 14,632,652,190.25
  5. Step 5: Solve for x
    x = 14,632,652,190.25/59,445
  6. Step 6: Final answer
    x = 246,154.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.