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Finding the Third Proportional to 119,081 and 254,537

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Solution

The third proportional to 119,081 and 254,537 is: 544,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,081 : 254,537 = 254,537 : x
  2. Step 2: Convert to fraction form
    119,081/254,537 = 254,537/x
  3. Step 3: Cross multiply
    119,081x = 254,537 × 254,537
  4. Step 4: Simplify right side
    119,081x = 64,789,084,369
  5. Step 5: Solve for x
    x = 64,789,084,369/119,081
  6. Step 6: Final answer
    x = 544,075.75

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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.