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Finding the Third Proportional to 69,977.25 and 97,368.75

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Solution

The third proportional to 69,977.25 and 97,368.75 is: 135,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.25 : 97,368.75 = 97,368.75 : x
  2. Step 2: Convert to fraction form
    69,977.25/97,368.75 = 97,368.75/x
  3. Step 3: Cross multiply
    69,977.25x = 97,368.75 × 97,368.75
  4. Step 4: Simplify right side
    69,977.25x = 9,480,673,476.56
  5. Step 5: Solve for x
    x = 9,480,673,476.56/69,977.25
  6. Step 6: Final answer
    x = 135,482.22

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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.