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Finding the Third Proportional to 58,763 and 85,682.50

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Solution

The third proportional to 58,763 and 85,682.50 is: 124,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,763 : 85,682.50 = 85,682.50 : x
  2. Step 2: Convert to fraction form
    58,763/85,682.50 = 85,682.50/x
  3. Step 3: Cross multiply
    58,763x = 85,682.50 × 85,682.50
  4. Step 4: Simplify right side
    58,763x = 7,341,490,806.25
  5. Step 5: Solve for x
    x = 7,341,490,806.25/58,763
  6. Step 6: Final answer
    x = 124,933.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.