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Finding the Third Proportional to 101,070 and 149,643

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Solution

The third proportional to 101,070 and 149,643 is: 221,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,070 : 149,643 = 149,643 : x
  2. Step 2: Convert to fraction form
    101,070/149,643 = 149,643/x
  3. Step 3: Cross multiply
    101,070x = 149,643 × 149,643
  4. Step 4: Simplify right side
    101,070x = 22,393,027,449
  5. Step 5: Solve for x
    x = 22,393,027,449/101,070
  6. Step 6: Final answer
    x = 221,559.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.