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Finding the Third Proportional to 65,599.88 and 143,046

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Solution

The third proportional to 65,599.88 and 143,046 is: 311,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,599.88 : 143,046 = 143,046 : x
  2. Step 2: Convert to fraction form
    65,599.88/143,046 = 143,046/x
  3. Step 3: Cross multiply
    65,599.88x = 143,046 × 143,046
  4. Step 4: Simplify right side
    65,599.88x = 20,462,158,116
  5. Step 5: Solve for x
    x = 20,462,158,116/65,599.88
  6. Step 6: Final answer
    x = 311,923.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.