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Finding the Third Proportional to 106,008 and 148,596

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Solution

The third proportional to 106,008 and 148,596 is: 208,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008 : 148,596 = 148,596 : x
  2. Step 2: Convert to fraction form
    106,008/148,596 = 148,596/x
  3. Step 3: Cross multiply
    106,008x = 148,596 × 148,596
  4. Step 4: Simplify right side
    106,008x = 22,080,771,216
  5. Step 5: Solve for x
    x = 22,080,771,216/106,008
  6. Step 6: Final answer
    x = 208,293.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.