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Finding the Third Proportional to 59,370 and 94,671

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Solution

The third proportional to 59,370 and 94,671 is: 150,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,370 : 94,671 = 94,671 : x
  2. Step 2: Convert to fraction form
    59,370/94,671 = 94,671/x
  3. Step 3: Cross multiply
    59,370x = 94,671 × 94,671
  4. Step 4: Simplify right side
    59,370x = 8,962,598,241
  5. Step 5: Solve for x
    x = 8,962,598,241/59,370
  6. Step 6: Final answer
    x = 150,961.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.