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Finding the Third Proportional to 53,667.56 and 116,564.06

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Solution

The third proportional to 53,667.56 and 116,564.06 is: 253,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,667.56 : 116,564.06 = 116,564.06 : x
  2. Step 2: Convert to fraction form
    53,667.56/116,564.06 = 116,564.06/x
  3. Step 3: Cross multiply
    53,667.56x = 116,564.06 × 116,564.06
  4. Step 4: Simplify right side
    53,667.56x = 13,587,180,666.50
  5. Step 5: Solve for x
    x = 13,587,180,666.50/53,667.56
  6. Step 6: Final answer
    x = 253,173.05

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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.