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Finding the Third Proportional to 74,513.75 and 112,733.75

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Solution

The third proportional to 74,513.75 and 112,733.75 is: 170,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,513.75 : 112,733.75 = 112,733.75 : x
  2. Step 2: Convert to fraction form
    74,513.75/112,733.75 = 112,733.75/x
  3. Step 3: Cross multiply
    74,513.75x = 112,733.75 × 112,733.75
  4. Step 4: Simplify right side
    74,513.75x = 12,708,898,389.06
  5. Step 5: Solve for x
    x = 12,708,898,389.06/74,513.75
  6. Step 6: Final answer
    x = 170,557.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.