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Finding the Third Proportional to 45,584 and 97,656

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Solution

The third proportional to 45,584 and 97,656 is: 209,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,584 : 97,656 = 97,656 : x
  2. Step 2: Convert to fraction form
    45,584/97,656 = 97,656/x
  3. Step 3: Cross multiply
    45,584x = 97,656 × 97,656
  4. Step 4: Simplify right side
    45,584x = 9,536,694,336
  5. Step 5: Solve for x
    x = 9,536,694,336/45,584
  6. Step 6: Final answer
    x = 209,211.44

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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.