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Finding the Third Proportional to 88,784 and 134,997

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Solution

The third proportional to 88,784 and 134,997 is: 205,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,784 : 134,997 = 134,997 : x
  2. Step 2: Convert to fraction form
    88,784/134,997 = 134,997/x
  3. Step 3: Cross multiply
    88,784x = 134,997 × 134,997
  4. Step 4: Simplify right side
    88,784x = 18,224,190,009
  5. Step 5: Solve for x
    x = 18,224,190,009/88,784
  6. Step 6: Final answer
    x = 205,264.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.