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Finding the Third Proportional to 64,526.63 and 141,517.13

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Solution

The third proportional to 64,526.63 and 141,517.13 is: 310,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,526.63 : 141,517.13 = 141,517.13 : x
  2. Step 2: Convert to fraction form
    64,526.63/141,517.13 = 141,517.13/x
  3. Step 3: Cross multiply
    64,526.63x = 141,517.13 × 141,517.13
  4. Step 4: Simplify right side
    64,526.63x = 20,027,096,668.27
  5. Step 5: Solve for x
    x = 20,027,096,668.27/64,526.63
  6. Step 6: Final answer
    x = 310,369.51

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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.