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Finding the Third Proportional to 64,937 and 97,144

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Solution

The third proportional to 64,937 and 97,144 is: 145,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937 : 97,144 = 97,144 : x
  2. Step 2: Convert to fraction form
    64,937/97,144 = 97,144/x
  3. Step 3: Cross multiply
    64,937x = 97,144 × 97,144
  4. Step 4: Simplify right side
    64,937x = 9,436,956,736
  5. Step 5: Solve for x
    x = 9,436,956,736/64,937
  6. Step 6: Final answer
    x = 145,324.80

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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.