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Finding the Third Proportional to 62,302 and 89,557

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Solution

The third proportional to 62,302 and 89,557 is: 128,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,302 : 89,557 = 89,557 : x
  2. Step 2: Convert to fraction form
    62,302/89,557 = 89,557/x
  3. Step 3: Cross multiply
    62,302x = 89,557 × 89,557
  4. Step 4: Simplify right side
    62,302x = 8,020,456,249
  5. Step 5: Solve for x
    x = 8,020,456,249/62,302
  6. Step 6: Final answer
    x = 128,735.13

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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.