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Finding the Third Proportional to 124,783.88 and 191,804.63

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Solution

The third proportional to 124,783.88 and 191,804.63 is: 294,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,783.88 : 191,804.63 = 191,804.63 : x
  2. Step 2: Convert to fraction form
    124,783.88/191,804.63 = 191,804.63/x
  3. Step 3: Cross multiply
    124,783.88x = 191,804.63 × 191,804.63
  4. Step 4: Simplify right side
    124,783.88x = 36,789,014,171.39
  5. Step 5: Solve for x
    x = 36,789,014,171.39/124,783.88
  6. Step 6: Final answer
    x = 294,821.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.