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Finding the Third Proportional to 65,766.38 and 144,938.25

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Solution

The third proportional to 65,766.38 and 144,938.25 is: 319,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,766.38 : 144,938.25 = 144,938.25 : x
  2. Step 2: Convert to fraction form
    65,766.38/144,938.25 = 144,938.25/x
  3. Step 3: Cross multiply
    65,766.38x = 144,938.25 × 144,938.25
  4. Step 4: Simplify right side
    65,766.38x = 21,007,096,313.06
  5. Step 5: Solve for x
    x = 21,007,096,313.06/65,766.38
  6. Step 6: Final answer
    x = 319,420.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.