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Finding the Third Proportional to 58,896 and 90,994

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Solution

The third proportional to 58,896 and 90,994 is: 140,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,896 : 90,994 = 90,994 : x
  2. Step 2: Convert to fraction form
    58,896/90,994 = 90,994/x
  3. Step 3: Cross multiply
    58,896x = 90,994 × 90,994
  4. Step 4: Simplify right side
    58,896x = 8,279,908,036
  5. Step 5: Solve for x
    x = 8,279,908,036/58,896
  6. Step 6: Final answer
    x = 140,585.24

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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.