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Finding the Third Proportional to 62,237 and 95,663

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Solution

The third proportional to 62,237 and 95,663 is: 147,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,237 : 95,663 = 95,663 : x
  2. Step 2: Convert to fraction form
    62,237/95,663 = 95,663/x
  3. Step 3: Cross multiply
    62,237x = 95,663 × 95,663
  4. Step 4: Simplify right side
    62,237x = 9,151,409,569
  5. Step 5: Solve for x
    x = 9,151,409,569/62,237
  6. Step 6: Final answer
    x = 147,041.30

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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.