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Finding the Third Proportional to 88,271 and 113,337.75

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Solution

The third proportional to 88,271 and 113,337.75 is: 145,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,271 : 113,337.75 = 113,337.75 : x
  2. Step 2: Convert to fraction form
    88,271/113,337.75 = 113,337.75/x
  3. Step 3: Cross multiply
    88,271x = 113,337.75 × 113,337.75
  4. Step 4: Simplify right side
    88,271x = 12,845,445,575.06
  5. Step 5: Solve for x
    x = 12,845,445,575.06/88,271
  6. Step 6: Final answer
    x = 145,522.83

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.