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Finding the Third Proportional to 64,998 and 134,361

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Solution

The third proportional to 64,998 and 134,361 is: 277,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998 : 134,361 = 134,361 : x
  2. Step 2: Convert to fraction form
    64,998/134,361 = 134,361/x
  3. Step 3: Cross multiply
    64,998x = 134,361 × 134,361
  4. Step 4: Simplify right side
    64,998x = 18,052,878,321
  5. Step 5: Solve for x
    x = 18,052,878,321/64,998
  6. Step 6: Final answer
    x = 277,745.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.