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Finding the Third Proportional to 64,998 and 141,092.50

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Solution

The third proportional to 64,998 and 141,092.50 is: 306,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998 : 141,092.50 = 141,092.50 : x
  2. Step 2: Convert to fraction form
    64,998/141,092.50 = 141,092.50/x
  3. Step 3: Cross multiply
    64,998x = 141,092.50 × 141,092.50
  4. Step 4: Simplify right side
    64,998x = 19,907,093,556.25
  5. Step 5: Solve for x
    x = 19,907,093,556.25/64,998
  6. Step 6: Final answer
    x = 306,272.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.