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Finding the Third Proportional to 64,969 and 97,881

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Solution

The third proportional to 64,969 and 97,881 is: 147,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969 : 97,881 = 97,881 : x
  2. Step 2: Convert to fraction form
    64,969/97,881 = 97,881/x
  3. Step 3: Cross multiply
    64,969x = 97,881 × 97,881
  4. Step 4: Simplify right side
    64,969x = 9,580,690,161
  5. Step 5: Solve for x
    x = 9,580,690,161/64,969
  6. Step 6: Final answer
    x = 147,465.56

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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.