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Finding the Third Proportional to 89,215 and 130,471

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Solution

The third proportional to 89,215 and 130,471 is: 190,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 130,471 = 130,471 : x
  2. Step 2: Convert to fraction form
    89,215/130,471 = 130,471/x
  3. Step 3: Cross multiply
    89,215x = 130,471 × 130,471
  4. Step 4: Simplify right side
    89,215x = 17,022,681,841
  5. Step 5: Solve for x
    x = 17,022,681,841/89,215
  6. Step 6: Final answer
    x = 190,805.15

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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.