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Finding the Third Proportional to 124,032 and 262,080

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Solution

The third proportional to 124,032 and 262,080 is: 553,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,032 : 262,080 = 262,080 : x
  2. Step 2: Convert to fraction form
    124,032/262,080 = 262,080/x
  3. Step 3: Cross multiply
    124,032x = 262,080 × 262,080
  4. Step 4: Simplify right side
    124,032x = 68,685,926,400
  5. Step 5: Solve for x
    x = 68,685,926,400/124,032
  6. Step 6: Final answer
    x = 553,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.