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Finding the Third Proportional to 42,583.50 and 115,368.75

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Solution

The third proportional to 42,583.50 and 115,368.75 is: 312,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,583.50 : 115,368.75 = 115,368.75 : x
  2. Step 2: Convert to fraction form
    42,583.50/115,368.75 = 115,368.75/x
  3. Step 3: Cross multiply
    42,583.50x = 115,368.75 × 115,368.75
  4. Step 4: Simplify right side
    42,583.50x = 13,309,948,476.56
  5. Step 5: Solve for x
    x = 13,309,948,476.56/42,583.50
  6. Step 6: Final answer
    x = 312,561.17

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.