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Finding the Third Proportional to 59,380 and 92,354

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Solution

The third proportional to 59,380 and 92,354 is: 143,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,380 : 92,354 = 92,354 : x
  2. Step 2: Convert to fraction form
    59,380/92,354 = 92,354/x
  3. Step 3: Cross multiply
    59,380x = 92,354 × 92,354
  4. Step 4: Simplify right side
    59,380x = 8,529,261,316
  5. Step 5: Solve for x
    x = 8,529,261,316/59,380
  6. Step 6: Final answer
    x = 143,638.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.