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Finding the Third Proportional to 62,352 and 93,282

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Solution

The third proportional to 62,352 and 93,282 is: 139,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,352 : 93,282 = 93,282 : x
  2. Step 2: Convert to fraction form
    62,352/93,282 = 93,282/x
  3. Step 3: Cross multiply
    62,352x = 93,282 × 93,282
  4. Step 4: Simplify right side
    62,352x = 8,701,531,524
  5. Step 5: Solve for x
    x = 8,701,531,524/62,352
  6. Step 6: Final answer
    x = 139,554.97

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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.