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Finding the Third Proportional to 101,502 and 144,261

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Solution

The third proportional to 101,502 and 144,261 is: 205,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502 : 144,261 = 144,261 : x
  2. Step 2: Convert to fraction form
    101,502/144,261 = 144,261/x
  3. Step 3: Cross multiply
    101,502x = 144,261 × 144,261
  4. Step 4: Simplify right side
    101,502x = 20,811,236,121
  5. Step 5: Solve for x
    x = 20,811,236,121/101,502
  6. Step 6: Final answer
    x = 205,032.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.