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Finding the Third Proportional to 106,116 and 148,758

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Solution

The third proportional to 106,116 and 148,758 is: 208,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 148,758 = 148,758 : x
  2. Step 2: Convert to fraction form
    106,116/148,758 = 148,758/x
  3. Step 3: Cross multiply
    106,116x = 148,758 × 148,758
  4. Step 4: Simplify right side
    106,116x = 22,128,942,564
  5. Step 5: Solve for x
    x = 22,128,942,564/106,116
  6. Step 6: Final answer
    x = 208,535.40

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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.