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Finding the Third Proportional to 72,196.50 and 156,980.25

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Solution

The third proportional to 72,196.50 and 156,980.25 is: 341,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196.50 : 156,980.25 = 156,980.25 : x
  2. Step 2: Convert to fraction form
    72,196.50/156,980.25 = 156,980.25/x
  3. Step 3: Cross multiply
    72,196.50x = 156,980.25 × 156,980.25
  4. Step 4: Simplify right side
    72,196.50x = 24,642,798,890.06
  5. Step 5: Solve for x
    x = 24,642,798,890.06/72,196.50
  6. Step 6: Final answer
    x = 341,329.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.