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Finding the Third Proportional to 101,374.88 and 146,026.13

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Solution

The third proportional to 101,374.88 and 146,026.13 is: 210,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,374.88 : 146,026.13 = 146,026.13 : x
  2. Step 2: Convert to fraction form
    101,374.88/146,026.13 = 146,026.13/x
  3. Step 3: Cross multiply
    101,374.88x = 146,026.13 × 146,026.13
  4. Step 4: Simplify right side
    101,374.88x = 21,323,629,182.52
  5. Step 5: Solve for x
    x = 21,323,629,182.52/101,374.88
  6. Step 6: Final answer
    x = 210,344.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.