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Finding the Third Proportional to 113,999.25 and 174,977.25

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Solution

The third proportional to 113,999.25 and 174,977.25 is: 268,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,999.25 : 174,977.25 = 174,977.25 : x
  2. Step 2: Convert to fraction form
    113,999.25/174,977.25 = 174,977.25/x
  3. Step 3: Cross multiply
    113,999.25x = 174,977.25 × 174,977.25
  4. Step 4: Simplify right side
    113,999.25x = 30,617,038,017.56
  5. Step 5: Solve for x
    x = 30,617,038,017.56/113,999.25
  6. Step 6: Final answer
    x = 268,572.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.