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Finding the Third Proportional to 64,746 and 94,636

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Solution

The third proportional to 64,746 and 94,636 is: 138,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,746 : 94,636 = 94,636 : x
  2. Step 2: Convert to fraction form
    64,746/94,636 = 94,636/x
  3. Step 3: Cross multiply
    64,746x = 94,636 × 94,636
  4. Step 4: Simplify right side
    64,746x = 8,955,972,496
  5. Step 5: Solve for x
    x = 8,955,972,496/64,746
  6. Step 6: Final answer
    x = 138,324.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.