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Finding the Third Proportional to 64,699 and 107,369

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Solution

The third proportional to 64,699 and 107,369 is: 178,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,699 : 107,369 = 107,369 : x
  2. Step 2: Convert to fraction form
    64,699/107,369 = 107,369/x
  3. Step 3: Cross multiply
    64,699x = 107,369 × 107,369
  4. Step 4: Simplify right side
    64,699x = 11,528,102,161
  5. Step 5: Solve for x
    x = 11,528,102,161/64,699
  6. Step 6: Final answer
    x = 178,180.53

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.