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Finding the Third Proportional to 124,902 and 262,858

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Solution

The third proportional to 124,902 and 262,858 is: 553,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,902 : 262,858 = 262,858 : x
  2. Step 2: Convert to fraction form
    124,902/262,858 = 262,858/x
  3. Step 3: Cross multiply
    124,902x = 262,858 × 262,858
  4. Step 4: Simplify right side
    124,902x = 69,094,328,164
  5. Step 5: Solve for x
    x = 69,094,328,164/124,902
  6. Step 6: Final answer
    x = 553,188.32

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