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Finding the Third Proportional to 60,975 and 93,892.50

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Solution

The third proportional to 60,975 and 93,892.50 is: 144,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,975 : 93,892.50 = 93,892.50 : x
  2. Step 2: Convert to fraction form
    60,975/93,892.50 = 93,892.50/x
  3. Step 3: Cross multiply
    60,975x = 93,892.50 × 93,892.50
  4. Step 4: Simplify right side
    60,975x = 8,815,801,556.25
  5. Step 5: Solve for x
    x = 8,815,801,556.25/60,975
  6. Step 6: Final answer
    x = 144,580.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.