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Finding the Third Proportional to 65,425.69 and 103,770.28

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Solution

The third proportional to 65,425.69 and 103,770.28 is: 164,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,425.69 : 103,770.28 = 103,770.28 : x
  2. Step 2: Convert to fraction form
    65,425.69/103,770.28 = 103,770.28/x
  3. Step 3: Cross multiply
    65,425.69x = 103,770.28 × 103,770.28
  4. Step 4: Simplify right side
    65,425.69x = 10,768,271,270.70
  5. Step 5: Solve for x
    x = 10,768,271,270.70/65,425.69
  6. Step 6: Final answer
    x = 164,587.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.