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Finding the Third Proportional to 52,431.75 and 112,278.38

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Solution

The third proportional to 52,431.75 and 112,278.38 is: 240,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,431.75 : 112,278.38 = 112,278.38 : x
  2. Step 2: Convert to fraction form
    52,431.75/112,278.38 = 112,278.38/x
  3. Step 3: Cross multiply
    52,431.75x = 112,278.38 × 112,278.38
  4. Step 4: Simplify right side
    52,431.75x = 12,606,433,492.64
  5. Step 5: Solve for x
    x = 12,606,433,492.64/52,431.75
  6. Step 6: Final answer
    x = 240,435.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.