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Finding the Third Proportional to 51,428 and 106,952

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Solution

The third proportional to 51,428 and 106,952 is: 222,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428 : 106,952 = 106,952 : x
  2. Step 2: Convert to fraction form
    51,428/106,952 = 106,952/x
  3. Step 3: Cross multiply
    51,428x = 106,952 × 106,952
  4. Step 4: Simplify right side
    51,428x = 11,438,730,304
  5. Step 5: Solve for x
    x = 11,438,730,304/51,428
  6. Step 6: Final answer
    x = 222,422.23

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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.