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Finding the Third Proportional to 58,650.33 and 128,051.98

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Solution

The third proportional to 58,650.33 and 128,051.98 is: 279,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,650.33 : 128,051.98 = 128,051.98 : x
  2. Step 2: Convert to fraction form
    58,650.33/128,051.98 = 128,051.98/x
  3. Step 3: Cross multiply
    58,650.33x = 128,051.98 × 128,051.98
  4. Step 4: Simplify right side
    58,650.33x = 16,397,310,202.17
  5. Step 5: Solve for x
    x = 16,397,310,202.17/58,650.33
  6. Step 6: Final answer
    x = 279,577.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.