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Finding the Third Proportional to 88,947 and 212,607

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Solution

The third proportional to 88,947 and 212,607 is: 508,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,947 : 212,607 = 212,607 : x
  2. Step 2: Convert to fraction form
    88,947/212,607 = 212,607/x
  3. Step 3: Cross multiply
    88,947x = 212,607 × 212,607
  4. Step 4: Simplify right side
    88,947x = 45,201,736,449
  5. Step 5: Solve for x
    x = 45,201,736,449/88,947
  6. Step 6: Final answer
    x = 508,187.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.