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Finding the Third Proportional to 97,893.50 and 141,330.25

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Solution

The third proportional to 97,893.50 and 141,330.25 is: 204,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893.50 : 141,330.25 = 141,330.25 : x
  2. Step 2: Convert to fraction form
    97,893.50/141,330.25 = 141,330.25/x
  3. Step 3: Cross multiply
    97,893.50x = 141,330.25 × 141,330.25
  4. Step 4: Simplify right side
    97,893.50x = 19,974,239,565.06
  5. Step 5: Solve for x
    x = 19,974,239,565.06/97,893.50
  6. Step 6: Final answer
    x = 204,040.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.