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Finding the Third Proportional to 101,784 and 149,634

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Solution

The third proportional to 101,784 and 149,634 is: 219,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784 : 149,634 = 149,634 : x
  2. Step 2: Convert to fraction form
    101,784/149,634 = 149,634/x
  3. Step 3: Cross multiply
    101,784x = 149,634 × 149,634
  4. Step 4: Simplify right side
    101,784x = 22,390,333,956
  5. Step 5: Solve for x
    x = 22,390,333,956/101,784
  6. Step 6: Final answer
    x = 219,978.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.