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Finding the Third Proportional to 101,808 and 148,680

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Solution

The third proportional to 101,808 and 148,680 is: 217,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808 : 148,680 = 148,680 : x
  2. Step 2: Convert to fraction form
    101,808/148,680 = 148,680/x
  3. Step 3: Cross multiply
    101,808x = 148,680 × 148,680
  4. Step 4: Simplify right side
    101,808x = 22,105,742,400
  5. Step 5: Solve for x
    x = 22,105,742,400/101,808
  6. Step 6: Final answer
    x = 217,131.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.