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Finding the Third Proportional to 62,354 and 93,603

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Solution

The third proportional to 62,354 and 93,603 is: 140,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,354 : 93,603 = 93,603 : x
  2. Step 2: Convert to fraction form
    62,354/93,603 = 93,603/x
  3. Step 3: Cross multiply
    62,354x = 93,603 × 93,603
  4. Step 4: Simplify right side
    62,354x = 8,761,521,609
  5. Step 5: Solve for x
    x = 8,761,521,609/62,354
  6. Step 6: Final answer
    x = 140,512.58

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