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Finding the Third Proportional to 45,284 and 98,342

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Solution

The third proportional to 45,284 and 98,342 is: 213,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284 : 98,342 = 98,342 : x
  2. Step 2: Convert to fraction form
    45,284/98,342 = 98,342/x
  3. Step 3: Cross multiply
    45,284x = 98,342 × 98,342
  4. Step 4: Simplify right side
    45,284x = 9,671,148,964
  5. Step 5: Solve for x
    x = 9,671,148,964/45,284
  6. Step 6: Final answer
    x = 213,566.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.