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Finding the Third Proportional to 54,907.50 and 120,507

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Solution

The third proportional to 54,907.50 and 120,507 is: 264,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907.50 : 120,507 = 120,507 : x
  2. Step 2: Convert to fraction form
    54,907.50/120,507 = 120,507/x
  3. Step 3: Cross multiply
    54,907.50x = 120,507 × 120,507
  4. Step 4: Simplify right side
    54,907.50x = 14,521,937,049
  5. Step 5: Solve for x
    x = 14,521,937,049/54,907.50
  6. Step 6: Final answer
    x = 264,480.03

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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.