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Finding the Third Proportional to 75,271.50 and 103,215.38

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Solution

The third proportional to 75,271.50 and 103,215.38 is: 141,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.50 : 103,215.38 = 103,215.38 : x
  2. Step 2: Convert to fraction form
    75,271.50/103,215.38 = 103,215.38/x
  3. Step 3: Cross multiply
    75,271.50x = 103,215.38 × 103,215.38
  4. Step 4: Simplify right side
    75,271.50x = 10,653,413,636.39
  5. Step 5: Solve for x
    x = 10,653,413,636.39/75,271.50
  6. Step 6: Final answer
    x = 141,533.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.