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Finding the Third Proportional to 45,394 and 98,536

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Solution

The third proportional to 45,394 and 98,536 is: 213,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,394 : 98,536 = 98,536 : x
  2. Step 2: Convert to fraction form
    45,394/98,536 = 98,536/x
  3. Step 3: Cross multiply
    45,394x = 98,536 × 98,536
  4. Step 4: Simplify right side
    45,394x = 9,709,343,296
  5. Step 5: Solve for x
    x = 9,709,343,296/45,394
  6. Step 6: Final answer
    x = 213,890.45

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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.