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Finding the Third Proportional to 58,848 and 127,524

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Solution

The third proportional to 58,848 and 127,524 is: 276,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,848 : 127,524 = 127,524 : x
  2. Step 2: Convert to fraction form
    58,848/127,524 = 127,524/x
  3. Step 3: Cross multiply
    58,848x = 127,524 × 127,524
  4. Step 4: Simplify right side
    58,848x = 16,262,370,576
  5. Step 5: Solve for x
    x = 16,262,370,576/58,848
  6. Step 6: Final answer
    x = 276,345.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.