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Finding the Third Proportional to 75,151.50 and 117,030

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Solution

The third proportional to 75,151.50 and 117,030 is: 182,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,151.50 : 117,030 = 117,030 : x
  2. Step 2: Convert to fraction form
    75,151.50/117,030 = 117,030/x
  3. Step 3: Cross multiply
    75,151.50x = 117,030 × 117,030
  4. Step 4: Simplify right side
    75,151.50x = 13,696,020,900
  5. Step 5: Solve for x
    x = 13,696,020,900/75,151.50
  6. Step 6: Final answer
    x = 182,245.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.