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Finding the Third Proportional to 64,494 and 97,119

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Solution

The third proportional to 64,494 and 97,119 is: 146,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494 : 97,119 = 97,119 : x
  2. Step 2: Convert to fraction form
    64,494/97,119 = 97,119/x
  3. Step 3: Cross multiply
    64,494x = 97,119 × 97,119
  4. Step 4: Simplify right side
    64,494x = 9,432,100,161
  5. Step 5: Solve for x
    x = 9,432,100,161/64,494
  6. Step 6: Final answer
    x = 146,247.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.