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Finding the Third Proportional to 64,944 and 97,156

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Solution

The third proportional to 64,944 and 97,156 is: 145,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,944 : 97,156 = 97,156 : x
  2. Step 2: Convert to fraction form
    64,944/97,156 = 97,156/x
  3. Step 3: Cross multiply
    64,944x = 97,156 × 97,156
  4. Step 4: Simplify right side
    64,944x = 9,439,288,336
  5. Step 5: Solve for x
    x = 9,439,288,336/64,944
  6. Step 6: Final answer
    x = 145,345.04

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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.