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Finding the Third Proportional to 99,533.25 and 138,741.75

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Solution

The third proportional to 99,533.25 and 138,741.75 is: 193,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.25 : 138,741.75 = 138,741.75 : x
  2. Step 2: Convert to fraction form
    99,533.25/138,741.75 = 138,741.75/x
  3. Step 3: Cross multiply
    99,533.25x = 138,741.75 × 138,741.75
  4. Step 4: Simplify right side
    99,533.25x = 19,249,273,193.06
  5. Step 5: Solve for x
    x = 19,249,273,193.06/99,533.25
  6. Step 6: Final answer
    x = 193,395.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.