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Finding the Third Proportional to 61,527.09 and 144,865.97

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Solution

The third proportional to 61,527.09 and 144,865.97 is: 341,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,527.09 : 144,865.97 = 144,865.97 : x
  2. Step 2: Convert to fraction form
    61,527.09/144,865.97 = 144,865.97/x
  3. Step 3: Cross multiply
    61,527.09x = 144,865.97 × 144,865.97
  4. Step 4: Simplify right side
    61,527.09x = 20,986,148,901.88
  5. Step 5: Solve for x
    x = 20,986,148,901.88/61,527.09
  6. Step 6: Final answer
    x = 341,087.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.