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Finding the Third Proportional to 58,045 and 127,026

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Solution

The third proportional to 58,045 and 127,026 is: 277,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,045 : 127,026 = 127,026 : x
  2. Step 2: Convert to fraction form
    58,045/127,026 = 127,026/x
  3. Step 3: Cross multiply
    58,045x = 127,026 × 127,026
  4. Step 4: Simplify right side
    58,045x = 16,135,604,676
  5. Step 5: Solve for x
    x = 16,135,604,676/58,045
  6. Step 6: Final answer
    x = 277,984.40

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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.