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Finding the Third Proportional to 60,697.69 and 132,467.06

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Solution

The third proportional to 60,697.69 and 132,467.06 is: 289,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,697.69 : 132,467.06 = 132,467.06 : x
  2. Step 2: Convert to fraction form
    60,697.69/132,467.06 = 132,467.06/x
  3. Step 3: Cross multiply
    60,697.69x = 132,467.06 × 132,467.06
  4. Step 4: Simplify right side
    60,697.69x = 17,547,522,647.38
  5. Step 5: Solve for x
    x = 17,547,522,647.38/60,697.69
  6. Step 6: Final answer
    x = 289,097.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.