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Finding the Third Proportional to 68,214.50 and 147,638.50

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Solution

The third proportional to 68,214.50 and 147,638.50 is: 319,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,214.50 : 147,638.50 = 147,638.50 : x
  2. Step 2: Convert to fraction form
    68,214.50/147,638.50 = 147,638.50/x
  3. Step 3: Cross multiply
    68,214.50x = 147,638.50 × 147,638.50
  4. Step 4: Simplify right side
    68,214.50x = 21,797,126,682.25
  5. Step 5: Solve for x
    x = 21,797,126,682.25/68,214.50
  6. Step 6: Final answer
    x = 319,538.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.