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Finding the Third Proportional to 88,476 and 123,329

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Solution

The third proportional to 88,476 and 123,329 is: 171,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,476 : 123,329 = 123,329 : x
  2. Step 2: Convert to fraction form
    88,476/123,329 = 123,329/x
  3. Step 3: Cross multiply
    88,476x = 123,329 × 123,329
  4. Step 4: Simplify right side
    88,476x = 15,210,042,241
  5. Step 5: Solve for x
    x = 15,210,042,241/88,476
  6. Step 6: Final answer
    x = 171,911.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.