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Finding the Third Proportional to 52,281 and 124,222.50

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Solution

The third proportional to 52,281 and 124,222.50 is: 295,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281 : 124,222.50 = 124,222.50 : x
  2. Step 2: Convert to fraction form
    52,281/124,222.50 = 124,222.50/x
  3. Step 3: Cross multiply
    52,281x = 124,222.50 × 124,222.50
  4. Step 4: Simplify right side
    52,281x = 15,431,229,506.25
  5. Step 5: Solve for x
    x = 15,431,229,506.25/52,281
  6. Step 6: Final answer
    x = 295,159.42

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.