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Finding the Third Proportional to 59,618.63 and 126,345

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Solution

The third proportional to 59,618.63 and 126,345 is: 267,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,618.63 : 126,345 = 126,345 : x
  2. Step 2: Convert to fraction form
    59,618.63/126,345 = 126,345/x
  3. Step 3: Cross multiply
    59,618.63x = 126,345 × 126,345
  4. Step 4: Simplify right side
    59,618.63x = 15,963,059,025
  5. Step 5: Solve for x
    x = 15,963,059,025/59,618.63
  6. Step 6: Final answer
    x = 267,752.89

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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.