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Finding the Third Proportional to 52,062 and 113,952

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Solution

The third proportional to 52,062 and 113,952 is: 249,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062 : 113,952 = 113,952 : x
  2. Step 2: Convert to fraction form
    52,062/113,952 = 113,952/x
  3. Step 3: Cross multiply
    52,062x = 113,952 × 113,952
  4. Step 4: Simplify right side
    52,062x = 12,985,058,304
  5. Step 5: Solve for x
    x = 12,985,058,304/52,062
  6. Step 6: Final answer
    x = 249,415.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.