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Finding the Third Proportional to 58,743 and 89,493.75

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Solution

The third proportional to 58,743 and 89,493.75 is: 136,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,743 : 89,493.75 = 89,493.75 : x
  2. Step 2: Convert to fraction form
    58,743/89,493.75 = 89,493.75/x
  3. Step 3: Cross multiply
    58,743x = 89,493.75 × 89,493.75
  4. Step 4: Simplify right side
    58,743x = 8,009,131,289.06
  5. Step 5: Solve for x
    x = 8,009,131,289.06/58,743
  6. Step 6: Final answer
    x = 136,341.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.