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Finding the Third Proportional to 65,009 and 97,251

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Solution

The third proportional to 65,009 and 97,251 is: 145,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009 : 97,251 = 97,251 : x
  2. Step 2: Convert to fraction form
    65,009/97,251 = 97,251/x
  3. Step 3: Cross multiply
    65,009x = 97,251 × 97,251
  4. Step 4: Simplify right side
    65,009x = 9,457,757,001
  5. Step 5: Solve for x
    x = 9,457,757,001/65,009
  6. Step 6: Final answer
    x = 145,483.81

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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.