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Finding the Third Proportional to 89,483.50 and 125,170

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Solution

The third proportional to 89,483.50 and 125,170 is: 175,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,483.50 : 125,170 = 125,170 : x
  2. Step 2: Convert to fraction form
    89,483.50/125,170 = 125,170/x
  3. Step 3: Cross multiply
    89,483.50x = 125,170 × 125,170
  4. Step 4: Simplify right side
    89,483.50x = 15,667,528,900
  5. Step 5: Solve for x
    x = 15,667,528,900/89,483.50
  6. Step 6: Final answer
    x = 175,088.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.