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Finding the Third Proportional to 46,329 and 90,354

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Solution

The third proportional to 46,329 and 90,354 is: 176,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,329 : 90,354 = 90,354 : x
  2. Step 2: Convert to fraction form
    46,329/90,354 = 90,354/x
  3. Step 3: Cross multiply
    46,329x = 90,354 × 90,354
  4. Step 4: Simplify right side
    46,329x = 8,163,845,316
  5. Step 5: Solve for x
    x = 8,163,845,316/46,329
  6. Step 6: Final answer
    x = 176,214.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.