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Finding the Third Proportional to 52,756.50 and 124,538

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Solution

The third proportional to 52,756.50 and 124,538 is: 293,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,756.50 : 124,538 = 124,538 : x
  2. Step 2: Convert to fraction form
    52,756.50/124,538 = 124,538/x
  3. Step 3: Cross multiply
    52,756.50x = 124,538 × 124,538
  4. Step 4: Simplify right side
    52,756.50x = 15,509,713,444
  5. Step 5: Solve for x
    x = 15,509,713,444/52,756.50
  6. Step 6: Final answer
    x = 293,986.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.