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Finding the Third Proportional to 58,206 and 127,076

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Solution

The third proportional to 58,206 and 127,076 is: 277,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206 : 127,076 = 127,076 : x
  2. Step 2: Convert to fraction form
    58,206/127,076 = 127,076/x
  3. Step 3: Cross multiply
    58,206x = 127,076 × 127,076
  4. Step 4: Simplify right side
    58,206x = 16,148,309,776
  5. Step 5: Solve for x
    x = 16,148,309,776/58,206
  6. Step 6: Final answer
    x = 277,433.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.