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Finding the Third Proportional to 58,262 and 127,106

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Solution

The third proportional to 58,262 and 127,106 is: 277,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,262 : 127,106 = 127,106 : x
  2. Step 2: Convert to fraction form
    58,262/127,106 = 127,106/x
  3. Step 3: Cross multiply
    58,262x = 127,106 × 127,106
  4. Step 4: Simplify right side
    58,262x = 16,155,935,236
  5. Step 5: Solve for x
    x = 16,155,935,236/58,262
  6. Step 6: Final answer
    x = 277,297.99

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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.