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Finding the Third Proportional to 43,020 and 94,513.50

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Solution

The third proportional to 43,020 and 94,513.50 is: 207,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 94,513.50 = 94,513.50 : x
  2. Step 2: Convert to fraction form
    43,020/94,513.50 = 94,513.50/x
  3. Step 3: Cross multiply
    43,020x = 94,513.50 × 94,513.50
  4. Step 4: Simplify right side
    43,020x = 8,932,801,682.25
  5. Step 5: Solve for x
    x = 8,932,801,682.25/43,020
  6. Step 6: Final answer
    x = 207,643.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.