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Finding the Third Proportional to 124,920 and 262,894

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Solution

The third proportional to 124,920 and 262,894 is: 553,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,920 : 262,894 = 262,894 : x
  2. Step 2: Convert to fraction form
    124,920/262,894 = 262,894/x
  3. Step 3: Cross multiply
    124,920x = 262,894 × 262,894
  4. Step 4: Simplify right side
    124,920x = 69,113,255,236
  5. Step 5: Solve for x
    x = 69,113,255,236/124,920
  6. Step 6: Final answer
    x = 553,260.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.