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Finding the Third Proportional to 101,777.63 and 140,637.94

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Solution

The third proportional to 101,777.63 and 140,637.94 is: 194,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777.63 : 140,637.94 = 140,637.94 : x
  2. Step 2: Convert to fraction form
    101,777.63/140,637.94 = 140,637.94/x
  3. Step 3: Cross multiply
    101,777.63x = 140,637.94 × 140,637.94
  4. Step 4: Simplify right side
    101,777.63x = 19,779,029,464.25
  5. Step 5: Solve for x
    x = 19,779,029,464.25/101,777.63
  6. Step 6: Final answer
    x = 194,335.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.