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Finding the Third Proportional to 64,938 and 97,145

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Solution

The third proportional to 64,938 and 97,145 is: 145,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938 : 97,145 = 97,145 : x
  2. Step 2: Convert to fraction form
    64,938/97,145 = 97,145/x
  3. Step 3: Cross multiply
    64,938x = 97,145 × 97,145
  4. Step 4: Simplify right side
    64,938x = 9,437,151,025
  5. Step 5: Solve for x
    x = 9,437,151,025/64,938
  6. Step 6: Final answer
    x = 145,325.56

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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.