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Finding the Third Proportional to 58,141.50 and 107,973

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Solution

The third proportional to 58,141.50 and 107,973 is: 200,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,141.50 : 107,973 = 107,973 : x
  2. Step 2: Convert to fraction form
    58,141.50/107,973 = 107,973/x
  3. Step 3: Cross multiply
    58,141.50x = 107,973 × 107,973
  4. Step 4: Simplify right side
    58,141.50x = 11,658,168,729
  5. Step 5: Solve for x
    x = 11,658,168,729/58,141.50
  6. Step 6: Final answer
    x = 200,513.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.