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Finding the Third Proportional to 74,034 and 105,513

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Solution

The third proportional to 74,034 and 105,513 is: 150,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 105,513 = 105,513 : x
  2. Step 2: Convert to fraction form
    74,034/105,513 = 105,513/x
  3. Step 3: Cross multiply
    74,034x = 105,513 × 105,513
  4. Step 4: Simplify right side
    74,034x = 11,132,993,169
  5. Step 5: Solve for x
    x = 11,132,993,169/74,034
  6. Step 6: Final answer
    x = 150,376.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.