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Finding the Third Proportional to 62,010 and 92,838

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Solution

The third proportional to 62,010 and 92,838 is: 138,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,010 : 92,838 = 92,838 : x
  2. Step 2: Convert to fraction form
    62,010/92,838 = 92,838/x
  3. Step 3: Cross multiply
    62,010x = 92,838 × 92,838
  4. Step 4: Simplify right side
    62,010x = 8,618,894,244
  5. Step 5: Solve for x
    x = 8,618,894,244/62,010
  6. Step 6: Final answer
    x = 138,992.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.