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Finding the Third Proportional to 71,968.50 and 114,979.50

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Solution

The third proportional to 71,968.50 and 114,979.50 is: 183,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968.50 : 114,979.50 = 114,979.50 : x
  2. Step 2: Convert to fraction form
    71,968.50/114,979.50 = 114,979.50/x
  3. Step 3: Cross multiply
    71,968.50x = 114,979.50 × 114,979.50
  4. Step 4: Simplify right side
    71,968.50x = 13,220,285,420.25
  5. Step 5: Solve for x
    x = 13,220,285,420.25/71,968.50
  6. Step 6: Final answer
    x = 183,695.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.