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Finding the Third Proportional to 25,282 and 56,175.50

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Solution

The third proportional to 25,282 and 56,175.50 is: 124,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282 : 56,175.50 = 56,175.50 : x
  2. Step 2: Convert to fraction form
    25,282/56,175.50 = 56,175.50/x
  3. Step 3: Cross multiply
    25,282x = 56,175.50 × 56,175.50
  4. Step 4: Simplify right side
    25,282x = 3,155,686,800.25
  5. Step 5: Solve for x
    x = 3,155,686,800.25/25,282
  6. Step 6: Final answer
    x = 124,819.51

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.