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Finding the Third Proportional to 74,034 and 114,511.50

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Solution

The third proportional to 74,034 and 114,511.50 is: 177,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 114,511.50 = 114,511.50 : x
  2. Step 2: Convert to fraction form
    74,034/114,511.50 = 114,511.50/x
  3. Step 3: Cross multiply
    74,034x = 114,511.50 × 114,511.50
  4. Step 4: Simplify right side
    74,034x = 13,112,883,632.25
  5. Step 5: Solve for x
    x = 13,112,883,632.25/74,034
  6. Step 6: Final answer
    x = 177,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.