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Finding the Third Proportional to 58,142.25 and 87,214.50

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Solution

The third proportional to 58,142.25 and 87,214.50 is: 130,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142.25 : 87,214.50 = 87,214.50 : x
  2. Step 2: Convert to fraction form
    58,142.25/87,214.50 = 87,214.50/x
  3. Step 3: Cross multiply
    58,142.25x = 87,214.50 × 87,214.50
  4. Step 4: Simplify right side
    58,142.25x = 7,606,369,010.25
  5. Step 5: Solve for x
    x = 7,606,369,010.25/58,142.25
  6. Step 6: Final answer
    x = 130,823.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.