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Finding the Third Proportional to 72,958.69 and 112,674.66

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Solution

The third proportional to 72,958.69 and 112,674.66 is: 174,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,958.69 : 112,674.66 = 112,674.66 : x
  2. Step 2: Convert to fraction form
    72,958.69/112,674.66 = 112,674.66/x
  3. Step 3: Cross multiply
    72,958.69x = 112,674.66 × 112,674.66
  4. Step 4: Simplify right side
    72,958.69x = 12,695,578,161.06
  5. Step 5: Solve for x
    x = 12,695,578,161.06/72,958.69
  6. Step 6: Final answer
    x = 174,010.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.