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Finding the Third Proportional to 84,991 and 133,046

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Solution

The third proportional to 84,991 and 133,046 is: 208,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,991 : 133,046 = 133,046 : x
  2. Step 2: Convert to fraction form
    84,991/133,046 = 133,046/x
  3. Step 3: Cross multiply
    84,991x = 133,046 × 133,046
  4. Step 4: Simplify right side
    84,991x = 17,701,238,116
  5. Step 5: Solve for x
    x = 17,701,238,116/84,991
  6. Step 6: Final answer
    x = 208,271.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.