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Finding the Third Proportional to 61,448.63 and 131,437.69

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Solution

The third proportional to 61,448.63 and 131,437.69 is: 281,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,448.63 : 131,437.69 = 131,437.69 : x
  2. Step 2: Convert to fraction form
    61,448.63/131,437.69 = 131,437.69/x
  3. Step 3: Cross multiply
    61,448.63x = 131,437.69 × 131,437.69
  4. Step 4: Simplify right side
    61,448.63x = 17,275,865,695.35
  5. Step 5: Solve for x
    x = 17,275,865,695.35/61,448.63
  6. Step 6: Final answer
    x = 281,143.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.