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Finding the Third Proportional to 68,994 and 147,828

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Solution

The third proportional to 68,994 and 147,828 is: 316,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,994 : 147,828 = 147,828 : x
  2. Step 2: Convert to fraction form
    68,994/147,828 = 147,828/x
  3. Step 3: Cross multiply
    68,994x = 147,828 × 147,828
  4. Step 4: Simplify right side
    68,994x = 21,853,117,584
  5. Step 5: Solve for x
    x = 21,853,117,584/68,994
  6. Step 6: Final answer
    x = 316,739.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.