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Finding the Third Proportional to 58,080 and 127,226

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Solution

The third proportional to 58,080 and 127,226 is: 278,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,080 : 127,226 = 127,226 : x
  2. Step 2: Convert to fraction form
    58,080/127,226 = 127,226/x
  3. Step 3: Cross multiply
    58,080x = 127,226 × 127,226
  4. Step 4: Simplify right side
    58,080x = 16,186,455,076
  5. Step 5: Solve for x
    x = 16,186,455,076/58,080
  6. Step 6: Final answer
    x = 278,692.41

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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.