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Finding the Third Proportional to 58,126.36 and 78,885.77

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Solution

The third proportional to 58,126.36 and 78,885.77 is: 107,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,126.36 : 78,885.77 = 78,885.77 : x
  2. Step 2: Convert to fraction form
    58,126.36/78,885.77 = 78,885.77/x
  3. Step 3: Cross multiply
    58,126.36x = 78,885.77 × 78,885.77
  4. Step 4: Simplify right side
    58,126.36x = 6,222,965,250.83
  5. Step 5: Solve for x
    x = 6,222,965,250.83/58,126.36
  6. Step 6: Final answer
    x = 107,059.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.