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Finding the Third Proportional to 133,983 and 293,076

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Solution

The third proportional to 133,983 and 293,076 is: 641,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983 : 293,076 = 293,076 : x
  2. Step 2: Convert to fraction form
    133,983/293,076 = 293,076/x
  3. Step 3: Cross multiply
    133,983x = 293,076 × 293,076
  4. Step 4: Simplify right side
    133,983x = 85,893,541,776
  5. Step 5: Solve for x
    x = 85,893,541,776/133,983
  6. Step 6: Final answer
    x = 641,077.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.