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Finding the Third Proportional to 52,973 and 114,348.25

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Solution

The third proportional to 52,973 and 114,348.25 is: 246,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,973 : 114,348.25 = 114,348.25 : x
  2. Step 2: Convert to fraction form
    52,973/114,348.25 = 114,348.25/x
  3. Step 3: Cross multiply
    52,973x = 114,348.25 × 114,348.25
  4. Step 4: Simplify right side
    52,973x = 13,075,522,278.06
  5. Step 5: Solve for x
    x = 13,075,522,278.06/52,973
  6. Step 6: Final answer
    x = 246,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.