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Finding the Third Proportional to 77,646 and 106,080

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Solution

The third proportional to 77,646 and 106,080 is: 144,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646 : 106,080 = 106,080 : x
  2. Step 2: Convert to fraction form
    77,646/106,080 = 106,080/x
  3. Step 3: Cross multiply
    77,646x = 106,080 × 106,080
  4. Step 4: Simplify right side
    77,646x = 11,252,966,400
  5. Step 5: Solve for x
    x = 11,252,966,400/77,646
  6. Step 6: Final answer
    x = 144,926.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.