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Finding the Third Proportional to 65,692.69 and 101,602.69

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Solution

The third proportional to 65,692.69 and 101,602.69 is: 157,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.69 : 101,602.69 = 101,602.69 : x
  2. Step 2: Convert to fraction form
    65,692.69/101,602.69 = 101,602.69/x
  3. Step 3: Cross multiply
    65,692.69x = 101,602.69 × 101,602.69
  4. Step 4: Simplify right side
    65,692.69x = 10,323,106,107.22
  5. Step 5: Solve for x
    x = 10,323,106,107.22/65,692.69
  6. Step 6: Final answer
    x = 157,142.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.