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Finding the Third Proportional to 64,907 and 94,807

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Solution

The third proportional to 64,907 and 94,807 is: 138,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,907 : 94,807 = 94,807 : x
  2. Step 2: Convert to fraction form
    64,907/94,807 = 94,807/x
  3. Step 3: Cross multiply
    64,907x = 94,807 × 94,807
  4. Step 4: Simplify right side
    64,907x = 8,988,367,249
  5. Step 5: Solve for x
    x = 8,988,367,249/64,907
  6. Step 6: Final answer
    x = 138,480.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.