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Finding the Third Proportional to 53,074.50 and 85,224

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Solution

The third proportional to 53,074.50 and 85,224 is: 136,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,074.50 : 85,224 = 85,224 : x
  2. Step 2: Convert to fraction form
    53,074.50/85,224 = 85,224/x
  3. Step 3: Cross multiply
    53,074.50x = 85,224 × 85,224
  4. Step 4: Simplify right side
    53,074.50x = 7,263,130,176
  5. Step 5: Solve for x
    x = 7,263,130,176/53,074.50
  6. Step 6: Final answer
    x = 136,847.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.