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Finding the Third Proportional to 58,361.50 and 113,807

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Solution

The third proportional to 58,361.50 and 113,807 is: 221,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,361.50 : 113,807 = 113,807 : x
  2. Step 2: Convert to fraction form
    58,361.50/113,807 = 113,807/x
  3. Step 3: Cross multiply
    58,361.50x = 113,807 × 113,807
  4. Step 4: Simplify right side
    58,361.50x = 12,952,033,249
  5. Step 5: Solve for x
    x = 12,952,033,249/58,361.50
  6. Step 6: Final answer
    x = 221,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.