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Finding the Third Proportional to 74,513 and 104,661.50

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Solution

The third proportional to 74,513 and 104,661.50 is: 147,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,513 : 104,661.50 = 104,661.50 : x
  2. Step 2: Convert to fraction form
    74,513/104,661.50 = 104,661.50/x
  3. Step 3: Cross multiply
    74,513x = 104,661.50 × 104,661.50
  4. Step 4: Simplify right side
    74,513x = 10,954,029,582.25
  5. Step 5: Solve for x
    x = 10,954,029,582.25/74,513
  6. Step 6: Final answer
    x = 147,008.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.