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Finding the Third Proportional to 101,692 and 153,852

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Solution

The third proportional to 101,692 and 153,852 is: 232,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,692 : 153,852 = 153,852 : x
  2. Step 2: Convert to fraction form
    101,692/153,852 = 153,852/x
  3. Step 3: Cross multiply
    101,692x = 153,852 × 153,852
  4. Step 4: Simplify right side
    101,692x = 23,670,437,904
  5. Step 5: Solve for x
    x = 23,670,437,904/101,692
  6. Step 6: Final answer
    x = 232,765.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.