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Finding the Third Proportional to 89,933.63 and 129,927.38

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Solution

The third proportional to 89,933.63 and 129,927.38 is: 187,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,933.63 : 129,927.38 = 129,927.38 : x
  2. Step 2: Convert to fraction form
    89,933.63/129,927.38 = 129,927.38/x
  3. Step 3: Cross multiply
    89,933.63x = 129,927.38 × 129,927.38
  4. Step 4: Simplify right side
    89,933.63x = 16,881,122,774.39
  5. Step 5: Solve for x
    x = 16,881,122,774.39/89,933.63
  6. Step 6: Final answer
    x = 187,706.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.