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Finding the Third Proportional to 58,072.50 and 81,781.50

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Solution

The third proportional to 58,072.50 and 81,781.50 is: 115,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,072.50 : 81,781.50 = 81,781.50 : x
  2. Step 2: Convert to fraction form
    58,072.50/81,781.50 = 81,781.50/x
  3. Step 3: Cross multiply
    58,072.50x = 81,781.50 × 81,781.50
  4. Step 4: Simplify right side
    58,072.50x = 6,688,213,742.25
  5. Step 5: Solve for x
    x = 6,688,213,742.25/58,072.50
  6. Step 6: Final answer
    x = 115,170.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.