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Finding the Third Proportional to 57,133 and 87,643.50

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Solution

The third proportional to 57,133 and 87,643.50 is: 134,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133 : 87,643.50 = 87,643.50 : x
  2. Step 2: Convert to fraction form
    57,133/87,643.50 = 87,643.50/x
  3. Step 3: Cross multiply
    57,133x = 87,643.50 × 87,643.50
  4. Step 4: Simplify right side
    57,133x = 7,681,383,092.25
  5. Step 5: Solve for x
    x = 7,681,383,092.25/57,133
  6. Step 6: Final answer
    x = 134,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.