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Finding the Third Proportional to 65,693.63 and 144,104.63

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Solution

The third proportional to 65,693.63 and 144,104.63 is: 316,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.63 : 144,104.63 = 144,104.63 : x
  2. Step 2: Convert to fraction form
    65,693.63/144,104.63 = 144,104.63/x
  3. Step 3: Cross multiply
    65,693.63x = 144,104.63 × 144,104.63
  4. Step 4: Simplify right side
    65,693.63x = 20,766,142,946.39
  5. Step 5: Solve for x
    x = 20,766,142,946.39/65,693.63
  6. Step 6: Final answer
    x = 316,105.91

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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.