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Finding the Third Proportional to 92,048 and 215,080

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Solution

The third proportional to 92,048 and 215,080 is: 502,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,048 : 215,080 = 215,080 : x
  2. Step 2: Convert to fraction form
    92,048/215,080 = 215,080/x
  3. Step 3: Cross multiply
    92,048x = 215,080 × 215,080
  4. Step 4: Simplify right side
    92,048x = 46,259,406,400
  5. Step 5: Solve for x
    x = 46,259,406,400/92,048
  6. Step 6: Final answer
    x = 502,557.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.