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Finding the Third Proportional to 58,065.19 and 84,856.78

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Solution

The third proportional to 58,065.19 and 84,856.78 is: 124,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,065.19 : 84,856.78 = 84,856.78 : x
  2. Step 2: Convert to fraction form
    58,065.19/84,856.78 = 84,856.78/x
  3. Step 3: Cross multiply
    58,065.19x = 84,856.78 × 84,856.78
  4. Step 4: Simplify right side
    58,065.19x = 7,200,673,324.11
  5. Step 5: Solve for x
    x = 7,200,673,324.11/58,065.19
  6. Step 6: Final answer
    x = 124,010.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.