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Finding the Third Proportional to 89,790.38 and 130,736.63

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Solution

The third proportional to 89,790.38 and 130,736.63 is: 190,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,790.38 : 130,736.63 = 130,736.63 : x
  2. Step 2: Convert to fraction form
    89,790.38/130,736.63 = 130,736.63/x
  3. Step 3: Cross multiply
    89,790.38x = 130,736.63 × 130,736.63
  4. Step 4: Simplify right side
    89,790.38x = 17,092,065,116.39
  5. Step 5: Solve for x
    x = 17,092,065,116.39/89,790.38
  6. Step 6: Final answer
    x = 190,355.20

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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.