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Finding the Third Proportional to 65,783.67 and 142,090.45

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Solution

The third proportional to 65,783.67 and 142,090.45 is: 306,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783.67 : 142,090.45 = 142,090.45 : x
  2. Step 2: Convert to fraction form
    65,783.67/142,090.45 = 142,090.45/x
  3. Step 3: Cross multiply
    65,783.67x = 142,090.45 × 142,090.45
  4. Step 4: Simplify right side
    65,783.67x = 20,189,696,869.27
  5. Step 5: Solve for x
    x = 20,189,696,869.27/65,783.67
  6. Step 6: Final answer
    x = 306,910.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.