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Finding the Third Proportional to 74,040 and 110,196

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Solution

The third proportional to 74,040 and 110,196 is: 164,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040 : 110,196 = 110,196 : x
  2. Step 2: Convert to fraction form
    74,040/110,196 = 110,196/x
  3. Step 3: Cross multiply
    74,040x = 110,196 × 110,196
  4. Step 4: Simplify right side
    74,040x = 12,143,158,416
  5. Step 5: Solve for x
    x = 12,143,158,416/74,040
  6. Step 6: Final answer
    x = 164,008.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.