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Finding the Third Proportional to 89,225 and 130,485

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Solution

The third proportional to 89,225 and 130,485 is: 190,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,225 : 130,485 = 130,485 : x
  2. Step 2: Convert to fraction form
    89,225/130,485 = 130,485/x
  3. Step 3: Cross multiply
    89,225x = 130,485 × 130,485
  4. Step 4: Simplify right side
    89,225x = 17,026,335,225
  5. Step 5: Solve for x
    x = 17,026,335,225/89,225
  6. Step 6: Final answer
    x = 190,824.72

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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.