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Finding the Third Proportional to 58,282 and 127,772

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Solution

The third proportional to 58,282 and 127,772 is: 280,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,282 : 127,772 = 127,772 : x
  2. Step 2: Convert to fraction form
    58,282/127,772 = 127,772/x
  3. Step 3: Cross multiply
    58,282x = 127,772 × 127,772
  4. Step 4: Simplify right side
    58,282x = 16,325,683,984
  5. Step 5: Solve for x
    x = 16,325,683,984/58,282
  6. Step 6: Final answer
    x = 280,115.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.