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Finding the Third Proportional to 58,032 and 86,976

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Solution

The third proportional to 58,032 and 86,976 is: 130,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,032 : 86,976 = 86,976 : x
  2. Step 2: Convert to fraction form
    58,032/86,976 = 86,976/x
  3. Step 3: Cross multiply
    58,032x = 86,976 × 86,976
  4. Step 4: Simplify right side
    58,032x = 7,564,824,576
  5. Step 5: Solve for x
    x = 7,564,824,576/58,032
  6. Step 6: Final answer
    x = 130,356.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.