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Finding the Third Proportional to 108,048 and 145,459.50

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Solution

The third proportional to 108,048 and 145,459.50 is: 195,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,048 : 145,459.50 = 145,459.50 : x
  2. Step 2: Convert to fraction form
    108,048/145,459.50 = 145,459.50/x
  3. Step 3: Cross multiply
    108,048x = 145,459.50 × 145,459.50
  4. Step 4: Simplify right side
    108,048x = 21,158,466,140.25
  5. Step 5: Solve for x
    x = 21,158,466,140.25/108,048
  6. Step 6: Final answer
    x = 195,824.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.