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Finding the Third Proportional to 124,904 and 262,862

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Solution

The third proportional to 124,904 and 262,862 is: 553,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,904 : 262,862 = 262,862 : x
  2. Step 2: Convert to fraction form
    124,904/262,862 = 262,862/x
  3. Step 3: Cross multiply
    124,904x = 262,862 × 262,862
  4. Step 4: Simplify right side
    124,904x = 69,096,431,044
  5. Step 5: Solve for x
    x = 69,096,431,044/124,904
  6. Step 6: Final answer
    x = 553,196.30

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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.