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Finding the Third Proportional to 62,133.75 and 134,770.50

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Solution

The third proportional to 62,133.75 and 134,770.50 is: 292,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,133.75 : 134,770.50 = 134,770.50 : x
  2. Step 2: Convert to fraction form
    62,133.75/134,770.50 = 134,770.50/x
  3. Step 3: Cross multiply
    62,133.75x = 134,770.50 × 134,770.50
  4. Step 4: Simplify right side
    62,133.75x = 18,163,087,670.25
  5. Step 5: Solve for x
    x = 18,163,087,670.25/62,133.75
  6. Step 6: Final answer
    x = 292,322.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.