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Finding the Third Proportional to 47,565.50 and 103,056

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Solution

The third proportional to 47,565.50 and 103,056 is: 223,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,565.50 : 103,056 = 103,056 : x
  2. Step 2: Convert to fraction form
    47,565.50/103,056 = 103,056/x
  3. Step 3: Cross multiply
    47,565.50x = 103,056 × 103,056
  4. Step 4: Simplify right side
    47,565.50x = 10,620,539,136
  5. Step 5: Solve for x
    x = 10,620,539,136/47,565.50
  6. Step 6: Final answer
    x = 223,282.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.