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Finding the Third Proportional to 108,172.50 and 148,405.50

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Solution

The third proportional to 108,172.50 and 148,405.50 is: 203,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,172.50 : 148,405.50 = 148,405.50 : x
  2. Step 2: Convert to fraction form
    108,172.50/148,405.50 = 148,405.50/x
  3. Step 3: Cross multiply
    108,172.50x = 148,405.50 × 148,405.50
  4. Step 4: Simplify right side
    108,172.50x = 22,024,192,430.25
  5. Step 5: Solve for x
    x = 22,024,192,430.25/108,172.50
  6. Step 6: Final answer
    x = 203,602.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.