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Finding the Third Proportional to 124,352 and 270,772

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Solution

The third proportional to 124,352 and 270,772 is: 589,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,352 : 270,772 = 270,772 : x
  2. Step 2: Convert to fraction form
    124,352/270,772 = 270,772/x
  3. Step 3: Cross multiply
    124,352x = 270,772 × 270,772
  4. Step 4: Simplify right side
    124,352x = 73,317,475,984
  5. Step 5: Solve for x
    x = 73,317,475,984/124,352
  6. Step 6: Final answer
    x = 589,596.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.