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Finding the Third Proportional to 57,226.50 and 83,237.63

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Solution

The third proportional to 57,226.50 and 83,237.63 is: 121,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 83,237.63 = 83,237.63 : x
  2. Step 2: Convert to fraction form
    57,226.50/83,237.63 = 83,237.63/x
  3. Step 3: Cross multiply
    57,226.50x = 83,237.63 × 83,237.63
  4. Step 4: Simplify right side
    57,226.50x = 6,928,502,215.64
  5. Step 5: Solve for x
    x = 6,928,502,215.64/57,226.50
  6. Step 6: Final answer
    x = 121,071.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.