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Finding the Third Proportional to 108,021 and 148,339.50

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Solution

The third proportional to 108,021 and 148,339.50 is: 203,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,021 : 148,339.50 = 148,339.50 : x
  2. Step 2: Convert to fraction form
    108,021/148,339.50 = 148,339.50/x
  3. Step 3: Cross multiply
    108,021x = 148,339.50 × 148,339.50
  4. Step 4: Simplify right side
    108,021x = 22,004,607,260.25
  5. Step 5: Solve for x
    x = 22,004,607,260.25/108,021
  6. Step 6: Final answer
    x = 203,706.75

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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.