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Finding the Third Proportional to 64,969 and 97,188

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Solution

The third proportional to 64,969 and 97,188 is: 145,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969 : 97,188 = 97,188 : x
  2. Step 2: Convert to fraction form
    64,969/97,188 = 97,188/x
  3. Step 3: Cross multiply
    64,969x = 97,188 × 97,188
  4. Step 4: Simplify right side
    64,969x = 9,445,507,344
  5. Step 5: Solve for x
    x = 9,445,507,344/64,969
  6. Step 6: Final answer
    x = 145,384.83

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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.