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Finding the Third Proportional to 56,835 and 89,158.50

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Solution

The third proportional to 56,835 and 89,158.50 is: 139,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,835 : 89,158.50 = 89,158.50 : x
  2. Step 2: Convert to fraction form
    56,835/89,158.50 = 89,158.50/x
  3. Step 3: Cross multiply
    56,835x = 89,158.50 × 89,158.50
  4. Step 4: Simplify right side
    56,835x = 7,949,238,122.25
  5. Step 5: Solve for x
    x = 7,949,238,122.25/56,835
  6. Step 6: Final answer
    x = 139,865.19

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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.