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Finding the Third Proportional to 113,120 and 245,728

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Solution

The third proportional to 113,120 and 245,728 is: 533,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,120 : 245,728 = 245,728 : x
  2. Step 2: Convert to fraction form
    113,120/245,728 = 245,728/x
  3. Step 3: Cross multiply
    113,120x = 245,728 × 245,728
  4. Step 4: Simplify right side
    113,120x = 60,382,249,984
  5. Step 5: Solve for x
    x = 60,382,249,984/113,120
  6. Step 6: Final answer
    x = 533,789.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.