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Finding the Third Proportional to 113,426.16 and 174,104.44

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Solution

The third proportional to 113,426.16 and 174,104.44 is: 267,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,426.16 : 174,104.44 = 174,104.44 : x
  2. Step 2: Convert to fraction form
    113,426.16/174,104.44 = 174,104.44/x
  3. Step 3: Cross multiply
    113,426.16x = 174,104.44 × 174,104.44
  4. Step 4: Simplify right side
    113,426.16x = 30,312,355,157.19
  5. Step 5: Solve for x
    x = 30,312,355,157.19/113,426.16
  6. Step 6: Final answer
    x = 267,243.08

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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.