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Finding the Third Proportional to 58,905 and 91,006

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Solution

The third proportional to 58,905 and 91,006 is: 140,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,905 : 91,006 = 91,006 : x
  2. Step 2: Convert to fraction form
    58,905/91,006 = 91,006/x
  3. Step 3: Cross multiply
    58,905x = 91,006 × 91,006
  4. Step 4: Simplify right side
    58,905x = 8,282,092,036
  5. Step 5: Solve for x
    x = 8,282,092,036/58,905
  6. Step 6: Final answer
    x = 140,600.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.