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Finding the Third Proportional to 72,000 and 168,208.50

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Solution

The third proportional to 72,000 and 168,208.50 is: 392,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000 : 168,208.50 = 168,208.50 : x
  2. Step 2: Convert to fraction form
    72,000/168,208.50 = 168,208.50/x
  3. Step 3: Cross multiply
    72,000x = 168,208.50 × 168,208.50
  4. Step 4: Simplify right side
    72,000x = 28,294,099,472.25
  5. Step 5: Solve for x
    x = 28,294,099,472.25/72,000
  6. Step 6: Final answer
    x = 392,973.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.