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Finding the Third Proportional to 58,301.44 and 89,142.19

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Solution

The third proportional to 58,301.44 and 89,142.19 is: 136,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,301.44 : 89,142.19 = 89,142.19 : x
  2. Step 2: Convert to fraction form
    58,301.44/89,142.19 = 89,142.19/x
  3. Step 3: Cross multiply
    58,301.44x = 89,142.19 × 89,142.19
  4. Step 4: Simplify right side
    58,301.44x = 7,946,329,592.29
  5. Step 5: Solve for x
    x = 7,946,329,592.29/58,301.44
  6. Step 6: Final answer
    x = 136,297.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.