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Finding the Third Proportional to 54,509.63 and 117,365.63

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Solution

The third proportional to 54,509.63 and 117,365.63 is: 252,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.63 : 117,365.63 = 117,365.63 : x
  2. Step 2: Convert to fraction form
    54,509.63/117,365.63 = 117,365.63/x
  3. Step 3: Cross multiply
    54,509.63x = 117,365.63 × 117,365.63
  4. Step 4: Simplify right side
    54,509.63x = 13,774,689,931.64
  5. Step 5: Solve for x
    x = 13,774,689,931.64/54,509.63
  6. Step 6: Final answer
    x = 252,701.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.