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Finding the Third Proportional to 56,763 and 132,592.50

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Solution

The third proportional to 56,763 and 132,592.50 is: 309,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,763 : 132,592.50 = 132,592.50 : x
  2. Step 2: Convert to fraction form
    56,763/132,592.50 = 132,592.50/x
  3. Step 3: Cross multiply
    56,763x = 132,592.50 × 132,592.50
  4. Step 4: Simplify right side
    56,763x = 17,580,771,056.25
  5. Step 5: Solve for x
    x = 17,580,771,056.25/56,763
  6. Step 6: Final answer
    x = 309,722.37

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.