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Finding the Third Proportional to 113,400 and 186,725.25

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Solution

The third proportional to 113,400 and 186,725.25 is: 307,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,400 : 186,725.25 = 186,725.25 : x
  2. Step 2: Convert to fraction form
    113,400/186,725.25 = 186,725.25/x
  3. Step 3: Cross multiply
    113,400x = 186,725.25 × 186,725.25
  4. Step 4: Simplify right side
    113,400x = 34,866,318,987.56
  5. Step 5: Solve for x
    x = 34,866,318,987.56/113,400
  6. Step 6: Final answer
    x = 307,463.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.