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Finding the Third Proportional to 64,849.38 and 142,000.63

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Solution

The third proportional to 64,849.38 and 142,000.63 is: 310,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.38 : 142,000.63 = 142,000.63 : x
  2. Step 2: Convert to fraction form
    64,849.38/142,000.63 = 142,000.63/x
  3. Step 3: Cross multiply
    64,849.38x = 142,000.63 × 142,000.63
  4. Step 4: Simplify right side
    64,849.38x = 20,164,177,500.39
  5. Step 5: Solve for x
    x = 20,164,177,500.39/64,849.38
  6. Step 6: Final answer
    x = 310,938.66

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Why These Related Problems?

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