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Finding the Third Proportional to 90,455.50 and 132,970

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Solution

The third proportional to 90,455.50 and 132,970 is: 195,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,455.50 : 132,970 = 132,970 : x
  2. Step 2: Convert to fraction form
    90,455.50/132,970 = 132,970/x
  3. Step 3: Cross multiply
    90,455.50x = 132,970 × 132,970
  4. Step 4: Simplify right side
    90,455.50x = 17,681,020,900
  5. Step 5: Solve for x
    x = 17,681,020,900/90,455.50
  6. Step 6: Final answer
    x = 195,466.51

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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.