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Finding the Third Proportional to 65,226.38 and 93,025.13

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Solution

The third proportional to 65,226.38 and 93,025.13 is: 132,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.38 : 93,025.13 = 93,025.13 : x
  2. Step 2: Convert to fraction form
    65,226.38/93,025.13 = 93,025.13/x
  3. Step 3: Cross multiply
    65,226.38x = 93,025.13 × 93,025.13
  4. Step 4: Simplify right side
    65,226.38x = 8,653,673,881.27
  5. Step 5: Solve for x
    x = 8,653,673,881.27/65,226.38
  6. Step 6: Final answer
    x = 132,671.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.