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Finding the Third Proportional to 58,731.75 and 114,507

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Solution

The third proportional to 58,731.75 and 114,507 is: 223,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,731.75 : 114,507 = 114,507 : x
  2. Step 2: Convert to fraction form
    58,731.75/114,507 = 114,507/x
  3. Step 3: Cross multiply
    58,731.75x = 114,507 × 114,507
  4. Step 4: Simplify right side
    58,731.75x = 13,111,853,049
  5. Step 5: Solve for x
    x = 13,111,853,049/58,731.75
  6. Step 6: Final answer
    x = 223,249.83

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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.