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Finding the Third Proportional to 71,145.84 and 106,684.59

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Solution

The third proportional to 71,145.84 and 106,684.59 is: 159,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.84 : 106,684.59 = 106,684.59 : x
  2. Step 2: Convert to fraction form
    71,145.84/106,684.59 = 106,684.59/x
  3. Step 3: Cross multiply
    71,145.84x = 106,684.59 × 106,684.59
  4. Step 4: Simplify right side
    71,145.84x = 11,381,602,543.60
  5. Step 5: Solve for x
    x = 11,381,602,543.60/71,145.84
  6. Step 6: Final answer
    x = 159,975.65

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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.