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Finding the Third Proportional to 97,272 and 145,692

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Solution

The third proportional to 97,272 and 145,692 is: 218,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 145,692 = 145,692 : x
  2. Step 2: Convert to fraction form
    97,272/145,692 = 145,692/x
  3. Step 3: Cross multiply
    97,272x = 145,692 × 145,692
  4. Step 4: Simplify right side
    97,272x = 21,226,158,864
  5. Step 5: Solve for x
    x = 21,226,158,864/97,272
  6. Step 6: Final answer
    x = 218,214.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.