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Finding the Third Proportional to 106,964 and 160,062

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Solution

The third proportional to 106,964 and 160,062 is: 239,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,964 : 160,062 = 160,062 : x
  2. Step 2: Convert to fraction form
    106,964/160,062 = 160,062/x
  3. Step 3: Cross multiply
    106,964x = 160,062 × 160,062
  4. Step 4: Simplify right side
    106,964x = 25,619,843,844
  5. Step 5: Solve for x
    x = 25,619,843,844/106,964
  6. Step 6: Final answer
    x = 239,518.38

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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.