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Finding the Third Proportional to 58,141.13 and 89,133.75

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Solution

The third proportional to 58,141.13 and 89,133.75 is: 136,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,141.13 : 89,133.75 = 89,133.75 : x
  2. Step 2: Convert to fraction form
    58,141.13/89,133.75 = 89,133.75/x
  3. Step 3: Cross multiply
    58,141.13x = 89,133.75 × 89,133.75
  4. Step 4: Simplify right side
    58,141.13x = 7,944,825,389.06
  5. Step 5: Solve for x
    x = 7,944,825,389.06/58,141.13
  6. Step 6: Final answer
    x = 136,647.26

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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.