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Finding the Third Proportional to 59,330 and 94,270

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Solution

The third proportional to 59,330 and 94,270 is: 149,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,330 : 94,270 = 94,270 : x
  2. Step 2: Convert to fraction form
    59,330/94,270 = 94,270/x
  3. Step 3: Cross multiply
    59,330x = 94,270 × 94,270
  4. Step 4: Simplify right side
    59,330x = 8,886,832,900
  5. Step 5: Solve for x
    x = 8,886,832,900/59,330
  6. Step 6: Final answer
    x = 149,786.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.