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Finding the Third Proportional to 108,232.50 and 158,158.50

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Solution

The third proportional to 108,232.50 and 158,158.50 is: 231,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,232.50 : 158,158.50 = 158,158.50 : x
  2. Step 2: Convert to fraction form
    108,232.50/158,158.50 = 158,158.50/x
  3. Step 3: Cross multiply
    108,232.50x = 158,158.50 × 158,158.50
  4. Step 4: Simplify right side
    108,232.50x = 25,014,111,122.25
  5. Step 5: Solve for x
    x = 25,014,111,122.25/108,232.50
  6. Step 6: Final answer
    x = 231,114.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.