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Finding the Third Proportional to 58,743 and 88,133

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Solution

The third proportional to 58,743 and 88,133 is: 132,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,743 : 88,133 = 88,133 : x
  2. Step 2: Convert to fraction form
    58,743/88,133 = 88,133/x
  3. Step 3: Cross multiply
    58,743x = 88,133 × 88,133
  4. Step 4: Simplify right side
    58,743x = 7,767,425,689
  5. Step 5: Solve for x
    x = 7,767,425,689/58,743
  6. Step 6: Final answer
    x = 132,227.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.