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Finding the Third Proportional to 43,526 and 95,260

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Solution

The third proportional to 43,526 and 95,260 is: 208,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,526 : 95,260 = 95,260 : x
  2. Step 2: Convert to fraction form
    43,526/95,260 = 95,260/x
  3. Step 3: Cross multiply
    43,526x = 95,260 × 95,260
  4. Step 4: Simplify right side
    43,526x = 9,074,467,600
  5. Step 5: Solve for x
    x = 9,074,467,600/43,526
  6. Step 6: Final answer
    x = 208,483.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.