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Finding the Third Proportional to 62,242 and 89,475

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Solution

The third proportional to 62,242 and 89,475 is: 128,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,242 : 89,475 = 89,475 : x
  2. Step 2: Convert to fraction form
    62,242/89,475 = 89,475/x
  3. Step 3: Cross multiply
    62,242x = 89,475 × 89,475
  4. Step 4: Simplify right side
    62,242x = 8,005,775,625
  5. Step 5: Solve for x
    x = 8,005,775,625/62,242
  6. Step 6: Final answer
    x = 128,623.37

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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.