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Finding the Third Proportional to 77,646 and 116,349

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Solution

The third proportional to 77,646 and 116,349 is: 174,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646 : 116,349 = 116,349 : x
  2. Step 2: Convert to fraction form
    77,646/116,349 = 116,349/x
  3. Step 3: Cross multiply
    77,646x = 116,349 × 116,349
  4. Step 4: Simplify right side
    77,646x = 13,537,089,801
  5. Step 5: Solve for x
    x = 13,537,089,801/77,646
  6. Step 6: Final answer
    x = 174,343.69

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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.