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Finding the Third Proportional to 89,276 and 130,496

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Solution

The third proportional to 89,276 and 130,496 is: 190,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,276 : 130,496 = 130,496 : x
  2. Step 2: Convert to fraction form
    89,276/130,496 = 130,496/x
  3. Step 3: Cross multiply
    89,276x = 130,496 × 130,496
  4. Step 4: Simplify right side
    89,276x = 17,029,206,016
  5. Step 5: Solve for x
    x = 17,029,206,016/89,276
  6. Step 6: Final answer
    x = 190,747.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.