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Finding the Third Proportional to 124,936 and 264,362

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Solution

The third proportional to 124,936 and 264,362 is: 559,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,936 : 264,362 = 264,362 : x
  2. Step 2: Convert to fraction form
    124,936/264,362 = 264,362/x
  3. Step 3: Cross multiply
    124,936x = 264,362 × 264,362
  4. Step 4: Simplify right side
    124,936x = 69,887,267,044
  5. Step 5: Solve for x
    x = 69,887,267,044/124,936
  6. Step 6: Final answer
    x = 559,384.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.