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Finding the Third Proportional to 56,832.50 and 89,160.50

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Solution

The third proportional to 56,832.50 and 89,160.50 is: 139,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,832.50 : 89,160.50 = 89,160.50 : x
  2. Step 2: Convert to fraction form
    56,832.50/89,160.50 = 89,160.50/x
  3. Step 3: Cross multiply
    56,832.50x = 89,160.50 × 89,160.50
  4. Step 4: Simplify right side
    56,832.50x = 7,949,594,760.25
  5. Step 5: Solve for x
    x = 7,949,594,760.25/56,832.50
  6. Step 6: Final answer
    x = 139,877.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.