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Finding the Third Proportional to 59,784.50 and 89,357

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Solution

The third proportional to 59,784.50 and 89,357 is: 133,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784.50 : 89,357 = 89,357 : x
  2. Step 2: Convert to fraction form
    59,784.50/89,357 = 89,357/x
  3. Step 3: Cross multiply
    59,784.50x = 89,357 × 89,357
  4. Step 4: Simplify right side
    59,784.50x = 7,984,673,449
  5. Step 5: Solve for x
    x = 7,984,673,449/59,784.50
  6. Step 6: Final answer
    x = 133,557.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.