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Finding the Third Proportional to 49,490 and 107,862

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Solution

The third proportional to 49,490 and 107,862 is: 235,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490 : 107,862 = 107,862 : x
  2. Step 2: Convert to fraction form
    49,490/107,862 = 107,862/x
  3. Step 3: Cross multiply
    49,490x = 107,862 × 107,862
  4. Step 4: Simplify right side
    49,490x = 11,634,211,044
  5. Step 5: Solve for x
    x = 11,634,211,044/49,490
  6. Step 6: Final answer
    x = 235,082.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.