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Finding the Third Proportional to 88,643.95 and 133,056.84

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Solution

The third proportional to 88,643.95 and 133,056.84 is: 199,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,643.95 : 133,056.84 = 133,056.84 : x
  2. Step 2: Convert to fraction form
    88,643.95/133,056.84 = 133,056.84/x
  3. Step 3: Cross multiply
    88,643.95x = 133,056.84 × 133,056.84
  4. Step 4: Simplify right side
    88,643.95x = 17,704,123,668.71
  5. Step 5: Solve for x
    x = 17,704,123,668.71/88,643.95
  6. Step 6: Final answer
    x = 199,721.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.