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Finding the Third Proportional to 67,001 and 101,365.50

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Solution

The third proportional to 67,001 and 101,365.50 is: 153,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,001 : 101,365.50 = 101,365.50 : x
  2. Step 2: Convert to fraction form
    67,001/101,365.50 = 101,365.50/x
  3. Step 3: Cross multiply
    67,001x = 101,365.50 × 101,365.50
  4. Step 4: Simplify right side
    67,001x = 10,274,964,590.25
  5. Step 5: Solve for x
    x = 10,274,964,590.25/67,001
  6. Step 6: Final answer
    x = 153,355.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.