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Finding the Third Proportional to 59,421 and 89,144.25

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Solution

The third proportional to 59,421 and 89,144.25 is: 133,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,421 : 89,144.25 = 89,144.25 : x
  2. Step 2: Convert to fraction form
    59,421/89,144.25 = 89,144.25/x
  3. Step 3: Cross multiply
    59,421x = 89,144.25 × 89,144.25
  4. Step 4: Simplify right side
    59,421x = 7,946,697,308.06
  5. Step 5: Solve for x
    x = 7,946,697,308.06/59,421
  6. Step 6: Final answer
    x = 133,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.