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Finding the Third Proportional to 108,144 and 144,658.50

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Solution

The third proportional to 108,144 and 144,658.50 is: 193,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,144 : 144,658.50 = 144,658.50 : x
  2. Step 2: Convert to fraction form
    108,144/144,658.50 = 144,658.50/x
  3. Step 3: Cross multiply
    108,144x = 144,658.50 × 144,658.50
  4. Step 4: Simplify right side
    108,144x = 20,926,081,622.25
  5. Step 5: Solve for x
    x = 20,926,081,622.25/108,144
  6. Step 6: Final answer
    x = 193,502.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.