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Finding the Third Proportional to 119,082 and 254,535

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Solution

The third proportional to 119,082 and 254,535 is: 544,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,082 : 254,535 = 254,535 : x
  2. Step 2: Convert to fraction form
    119,082/254,535 = 254,535/x
  3. Step 3: Cross multiply
    119,082x = 254,535 × 254,535
  4. Step 4: Simplify right side
    119,082x = 64,788,066,225
  5. Step 5: Solve for x
    x = 64,788,066,225/119,082
  6. Step 6: Final answer
    x = 544,062.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.