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Finding the Third Proportional to 64,826 and 97,305

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Solution

The third proportional to 64,826 and 97,305 is: 146,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,826 : 97,305 = 97,305 : x
  2. Step 2: Convert to fraction form
    64,826/97,305 = 97,305/x
  3. Step 3: Cross multiply
    64,826x = 97,305 × 97,305
  4. Step 4: Simplify right side
    64,826x = 9,468,263,025
  5. Step 5: Solve for x
    x = 9,468,263,025/64,826
  6. Step 6: Final answer
    x = 146,056.57

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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.