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Finding the Third Proportional to 71,537 and 113,250

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Solution

The third proportional to 71,537 and 113,250 is: 179,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537 : 113,250 = 113,250 : x
  2. Step 2: Convert to fraction form
    71,537/113,250 = 113,250/x
  3. Step 3: Cross multiply
    71,537x = 113,250 × 113,250
  4. Step 4: Simplify right side
    71,537x = 12,825,562,500
  5. Step 5: Solve for x
    x = 12,825,562,500/71,537
  6. Step 6: Final answer
    x = 179,285.72

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.