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Finding the Third Proportional to 72,436.50 and 110,136.38

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Solution

The third proportional to 72,436.50 and 110,136.38 is: 167,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,436.50 : 110,136.38 = 110,136.38 : x
  2. Step 2: Convert to fraction form
    72,436.50/110,136.38 = 110,136.38/x
  3. Step 3: Cross multiply
    72,436.50x = 110,136.38 × 110,136.38
  4. Step 4: Simplify right side
    72,436.50x = 12,130,021,098.14
  5. Step 5: Solve for x
    x = 12,130,021,098.14/72,436.50
  6. Step 6: Final answer
    x = 167,457.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.