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Finding the Third Proportional to 58,080 and 85,418.25

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Solution

The third proportional to 58,080 and 85,418.25 is: 125,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,080 : 85,418.25 = 85,418.25 : x
  2. Step 2: Convert to fraction form
    58,080/85,418.25 = 85,418.25/x
  3. Step 3: Cross multiply
    58,080x = 85,418.25 × 85,418.25
  4. Step 4: Simplify right side
    58,080x = 7,296,277,433.06
  5. Step 5: Solve for x
    x = 7,296,277,433.06/58,080
  6. Step 6: Final answer
    x = 125,624.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.