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Finding the Third Proportional to 64,950.75 and 141,657.75

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Solution

The third proportional to 64,950.75 and 141,657.75 is: 308,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,950.75 : 141,657.75 = 141,657.75 : x
  2. Step 2: Convert to fraction form
    64,950.75/141,657.75 = 141,657.75/x
  3. Step 3: Cross multiply
    64,950.75x = 141,657.75 × 141,657.75
  4. Step 4: Simplify right side
    64,950.75x = 20,066,918,135.06
  5. Step 5: Solve for x
    x = 20,066,918,135.06/64,950.75
  6. Step 6: Final answer
    x = 308,955.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.