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Finding the Third Proportional to 58,217 and 127,018

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Solution

The third proportional to 58,217 and 127,018 is: 277,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,217 : 127,018 = 127,018 : x
  2. Step 2: Convert to fraction form
    58,217/127,018 = 127,018/x
  3. Step 3: Cross multiply
    58,217x = 127,018 × 127,018
  4. Step 4: Simplify right side
    58,217x = 16,133,572,324
  5. Step 5: Solve for x
    x = 16,133,572,324/58,217
  6. Step 6: Final answer
    x = 277,128.20

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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.