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Finding the Third Proportional to 56,511.42 and 76,746.87

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Solution

The third proportional to 56,511.42 and 76,746.87 is: 104,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,511.42 : 76,746.87 = 76,746.87 : x
  2. Step 2: Convert to fraction form
    56,511.42/76,746.87 = 76,746.87/x
  3. Step 3: Cross multiply
    56,511.42x = 76,746.87 × 76,746.87
  4. Step 4: Simplify right side
    56,511.42x = 5,890,081,623.10
  5. Step 5: Solve for x
    x = 5,890,081,623.10/56,511.42
  6. Step 6: Final answer
    x = 104,228.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.