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Finding the Third Proportional to 74,160 and 174,989.25

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Solution

The third proportional to 74,160 and 174,989.25 is: 412,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 174,989.25 = 174,989.25 : x
  2. Step 2: Convert to fraction form
    74,160/174,989.25 = 174,989.25/x
  3. Step 3: Cross multiply
    74,160x = 174,989.25 × 174,989.25
  4. Step 4: Simplify right side
    74,160x = 30,621,237,615.56
  5. Step 5: Solve for x
    x = 30,621,237,615.56/74,160
  6. Step 6: Final answer
    x = 412,907.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.