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Finding the Third Proportional to 59,278.25 and 105,398.75

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Solution

The third proportional to 59,278.25 and 105,398.75 is: 187,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,278.25 : 105,398.75 = 105,398.75 : x
  2. Step 2: Convert to fraction form
    59,278.25/105,398.75 = 105,398.75/x
  3. Step 3: Cross multiply
    59,278.25x = 105,398.75 × 105,398.75
  4. Step 4: Simplify right side
    59,278.25x = 11,108,896,501.56
  5. Step 5: Solve for x
    x = 11,108,896,501.56/59,278.25
  6. Step 6: Final answer
    x = 187,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.