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Finding the Third Proportional to 61,947 and 88,299

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Solution

The third proportional to 61,947 and 88,299 is: 125,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,947 : 88,299 = 88,299 : x
  2. Step 2: Convert to fraction form
    61,947/88,299 = 88,299/x
  3. Step 3: Cross multiply
    61,947x = 88,299 × 88,299
  4. Step 4: Simplify right side
    61,947x = 7,796,713,401
  5. Step 5: Solve for x
    x = 7,796,713,401/61,947
  6. Step 6: Final answer
    x = 125,861.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.