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Finding the Third Proportional to 64,896 and 94,790

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Solution

The third proportional to 64,896 and 94,790 is: 138,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896 : 94,790 = 94,790 : x
  2. Step 2: Convert to fraction form
    64,896/94,790 = 94,790/x
  3. Step 3: Cross multiply
    64,896x = 94,790 × 94,790
  4. Step 4: Simplify right side
    64,896x = 8,985,144,100
  5. Step 5: Solve for x
    x = 8,985,144,100/64,896
  6. Step 6: Final answer
    x = 138,454.51

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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.