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Finding the Third Proportional to 64,740.75 and 141,489.75

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Solution

The third proportional to 64,740.75 and 141,489.75 is: 309,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,740.75 : 141,489.75 = 141,489.75 : x
  2. Step 2: Convert to fraction form
    64,740.75/141,489.75 = 141,489.75/x
  3. Step 3: Cross multiply
    64,740.75x = 141,489.75 × 141,489.75
  4. Step 4: Simplify right side
    64,740.75x = 20,019,349,355.06
  5. Step 5: Solve for x
    x = 20,019,349,355.06/64,740.75
  6. Step 6: Final answer
    x = 309,223.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.