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Finding the Third Proportional to 61,417.41 and 130,216.78

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Solution

The third proportional to 61,417.41 and 130,216.78 is: 276,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,417.41 : 130,216.78 = 130,216.78 : x
  2. Step 2: Convert to fraction form
    61,417.41/130,216.78 = 130,216.78/x
  3. Step 3: Cross multiply
    61,417.41x = 130,216.78 × 130,216.78
  4. Step 4: Simplify right side
    61,417.41x = 16,956,410,119.11
  5. Step 5: Solve for x
    x = 16,956,410,119.11/61,417.41
  6. Step 6: Final answer
    x = 276,084.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.