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Finding the Third Proportional to 58,225 and 124,751

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Solution

The third proportional to 58,225 and 124,751 is: 267,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,225 : 124,751 = 124,751 : x
  2. Step 2: Convert to fraction form
    58,225/124,751 = 124,751/x
  3. Step 3: Cross multiply
    58,225x = 124,751 × 124,751
  4. Step 4: Simplify right side
    58,225x = 15,562,812,001
  5. Step 5: Solve for x
    x = 15,562,812,001/58,225
  6. Step 6: Final answer
    x = 267,287.45

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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.