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Finding the Third Proportional to 42,260 and 88,590

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Solution

The third proportional to 42,260 and 88,590 is: 185,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,260 : 88,590 = 88,590 : x
  2. Step 2: Convert to fraction form
    42,260/88,590 = 88,590/x
  3. Step 3: Cross multiply
    42,260x = 88,590 × 88,590
  4. Step 4: Simplify right side
    42,260x = 7,848,188,100
  5. Step 5: Solve for x
    x = 7,848,188,100/42,260
  6. Step 6: Final answer
    x = 185,711.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.