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Finding the Third Proportional to 88,193.81 and 128,592.56

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Solution

The third proportional to 88,193.81 and 128,592.56 is: 187,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,193.81 : 128,592.56 = 128,592.56 : x
  2. Step 2: Convert to fraction form
    88,193.81/128,592.56 = 128,592.56/x
  3. Step 3: Cross multiply
    88,193.81x = 128,592.56 × 128,592.56
  4. Step 4: Simplify right side
    88,193.81x = 16,536,047,130.32
  5. Step 5: Solve for x
    x = 16,536,047,130.32/88,193.81
  6. Step 6: Final answer
    x = 187,496.68

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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.