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Finding the Third Proportional to 64,835 and 94,917

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Solution

The third proportional to 64,835 and 94,917 is: 138,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,835 : 94,917 = 94,917 : x
  2. Step 2: Convert to fraction form
    64,835/94,917 = 94,917/x
  3. Step 3: Cross multiply
    64,835x = 94,917 × 94,917
  4. Step 4: Simplify right side
    64,835x = 9,009,236,889
  5. Step 5: Solve for x
    x = 9,009,236,889/64,835
  6. Step 6: Final answer
    x = 138,956.38

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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.