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Finding the Third Proportional to 68,650 and 147,833

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Solution

The third proportional to 68,650 and 147,833 is: 318,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,650 : 147,833 = 147,833 : x
  2. Step 2: Convert to fraction form
    68,650/147,833 = 147,833/x
  3. Step 3: Cross multiply
    68,650x = 147,833 × 147,833
  4. Step 4: Simplify right side
    68,650x = 21,854,595,889
  5. Step 5: Solve for x
    x = 21,854,595,889/68,650
  6. Step 6: Final answer
    x = 318,348.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.