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Finding the Third Proportional to 45,595 and 98,479

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Solution

The third proportional to 45,595 and 98,479 is: 212,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,595 : 98,479 = 98,479 : x
  2. Step 2: Convert to fraction form
    45,595/98,479 = 98,479/x
  3. Step 3: Cross multiply
    45,595x = 98,479 × 98,479
  4. Step 4: Simplify right side
    45,595x = 9,698,113,441
  5. Step 5: Solve for x
    x = 9,698,113,441/45,595
  6. Step 6: Final answer
    x = 212,701.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.