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Finding the Third Proportional to 56,959 and 133,082

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Solution

The third proportional to 56,959 and 133,082 is: 310,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959 : 133,082 = 133,082 : x
  2. Step 2: Convert to fraction form
    56,959/133,082 = 133,082/x
  3. Step 3: Cross multiply
    56,959x = 133,082 × 133,082
  4. Step 4: Simplify right side
    56,959x = 17,710,818,724
  5. Step 5: Solve for x
    x = 17,710,818,724/56,959
  6. Step 6: Final answer
    x = 310,939.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.