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Finding the Third Proportional to 58,347 and 127,253

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Solution

The third proportional to 58,347 and 127,253 is: 277,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,347 : 127,253 = 127,253 : x
  2. Step 2: Convert to fraction form
    58,347/127,253 = 127,253/x
  3. Step 3: Cross multiply
    58,347x = 127,253 × 127,253
  4. Step 4: Simplify right side
    58,347x = 16,193,326,009
  5. Step 5: Solve for x
    x = 16,193,326,009/58,347
  6. Step 6: Final answer
    x = 277,534.85

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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.