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Finding the Third Proportional to 45,393.75 and 97,773.75

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Solution

The third proportional to 45,393.75 and 97,773.75 is: 210,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,393.75 : 97,773.75 = 97,773.75 : x
  2. Step 2: Convert to fraction form
    45,393.75/97,773.75 = 97,773.75/x
  3. Step 3: Cross multiply
    45,393.75x = 97,773.75 × 97,773.75
  4. Step 4: Simplify right side
    45,393.75x = 9,559,706,189.06
  5. Step 5: Solve for x
    x = 9,559,706,189.06/45,393.75
  6. Step 6: Final answer
    x = 210,595.21

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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.