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Finding the Third Proportional to 123,628 and 253,130

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Solution

The third proportional to 123,628 and 253,130 is: 518,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,628 : 253,130 = 253,130 : x
  2. Step 2: Convert to fraction form
    123,628/253,130 = 253,130/x
  3. Step 3: Cross multiply
    123,628x = 253,130 × 253,130
  4. Step 4: Simplify right side
    123,628x = 64,074,796,900
  5. Step 5: Solve for x
    x = 64,074,796,900/123,628
  6. Step 6: Final answer
    x = 518,287.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.