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Finding the Third Proportional to 56,522 and 83,050

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Solution

The third proportional to 56,522 and 83,050 is: 122,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,522 : 83,050 = 83,050 : x
  2. Step 2: Convert to fraction form
    56,522/83,050 = 83,050/x
  3. Step 3: Cross multiply
    56,522x = 83,050 × 83,050
  4. Step 4: Simplify right side
    56,522x = 6,897,302,500
  5. Step 5: Solve for x
    x = 6,897,302,500/56,522
  6. Step 6: Final answer
    x = 122,028.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.