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Finding the Third Proportional to 54,263 and 116,313.50

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Solution

The third proportional to 54,263 and 116,313.50 is: 249,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,263 : 116,313.50 = 116,313.50 : x
  2. Step 2: Convert to fraction form
    54,263/116,313.50 = 116,313.50/x
  3. Step 3: Cross multiply
    54,263x = 116,313.50 × 116,313.50
  4. Step 4: Simplify right side
    54,263x = 13,528,830,282.25
  5. Step 5: Solve for x
    x = 13,528,830,282.25/54,263
  6. Step 6: Final answer
    x = 249,319.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.