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Finding the Third Proportional to 124,823 and 260,014

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Solution

The third proportional to 124,823 and 260,014 is: 541,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,823 : 260,014 = 260,014 : x
  2. Step 2: Convert to fraction form
    124,823/260,014 = 260,014/x
  3. Step 3: Cross multiply
    124,823x = 260,014 × 260,014
  4. Step 4: Simplify right side
    124,823x = 67,607,280,196
  5. Step 5: Solve for x
    x = 67,607,280,196/124,823
  6. Step 6: Final answer
    x = 541,625.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.