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Finding the Third Proportional to 64,840 and 97,116

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Solution

The third proportional to 64,840 and 97,116 is: 145,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840 : 97,116 = 97,116 : x
  2. Step 2: Convert to fraction form
    64,840/97,116 = 97,116/x
  3. Step 3: Cross multiply
    64,840x = 97,116 × 97,116
  4. Step 4: Simplify right side
    64,840x = 9,431,517,456
  5. Step 5: Solve for x
    x = 9,431,517,456/64,840
  6. Step 6: Final answer
    x = 145,458.32

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Why These Related Problems?

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