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Finding the Third Proportional to 135,715.50 and 199,623

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Solution

The third proportional to 135,715.50 and 199,623 is: 293,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,715.50 : 199,623 = 199,623 : x
  2. Step 2: Convert to fraction form
    135,715.50/199,623 = 199,623/x
  3. Step 3: Cross multiply
    135,715.50x = 199,623 × 199,623
  4. Step 4: Simplify right side
    135,715.50x = 39,849,342,129
  5. Step 5: Solve for x
    x = 39,849,342,129/135,715.50
  6. Step 6: Final answer
    x = 293,624.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.