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Finding the Third Proportional to 132,151.50 and 200,071.69

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Solution

The third proportional to 132,151.50 and 200,071.69 is: 302,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,151.50 : 200,071.69 = 200,071.69 : x
  2. Step 2: Convert to fraction form
    132,151.50/200,071.69 = 200,071.69/x
  3. Step 3: Cross multiply
    132,151.50x = 200,071.69 × 200,071.69
  4. Step 4: Simplify right side
    132,151.50x = 40,028,680,139.10
  5. Step 5: Solve for x
    x = 40,028,680,139.10/132,151.50
  6. Step 6: Final answer
    x = 302,899.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.