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Finding the Third Proportional to 46,354 and 99,272

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Solution

The third proportional to 46,354 and 99,272 is: 212,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354 : 99,272 = 99,272 : x
  2. Step 2: Convert to fraction form
    46,354/99,272 = 99,272/x
  3. Step 3: Cross multiply
    46,354x = 99,272 × 99,272
  4. Step 4: Simplify right side
    46,354x = 9,854,929,984
  5. Step 5: Solve for x
    x = 9,854,929,984/46,354
  6. Step 6: Final answer
    x = 212,601.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.