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Finding the Third Proportional to 101,548 and 148,852

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Solution

The third proportional to 101,548 and 148,852 is: 218,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,548 : 148,852 = 148,852 : x
  2. Step 2: Convert to fraction form
    101,548/148,852 = 148,852/x
  3. Step 3: Cross multiply
    101,548x = 148,852 × 148,852
  4. Step 4: Simplify right side
    101,548x = 22,156,917,904
  5. Step 5: Solve for x
    x = 22,156,917,904/101,548
  6. Step 6: Final answer
    x = 218,191.57

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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.