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Finding the Third Proportional to 107,315.50 and 145,749

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Solution

The third proportional to 107,315.50 and 145,749 is: 197,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,315.50 : 145,749 = 145,749 : x
  2. Step 2: Convert to fraction form
    107,315.50/145,749 = 145,749/x
  3. Step 3: Cross multiply
    107,315.50x = 145,749 × 145,749
  4. Step 4: Simplify right side
    107,315.50x = 21,242,771,001
  5. Step 5: Solve for x
    x = 21,242,771,001/107,315.50
  6. Step 6: Final answer
    x = 197,946.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.