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Finding the Third Proportional to 83,113.31 and 162,072.84

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Solution

The third proportional to 83,113.31 and 162,072.84 is: 316,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,113.31 : 162,072.84 = 162,072.84 : x
  2. Step 2: Convert to fraction form
    83,113.31/162,072.84 = 162,072.84/x
  3. Step 3: Cross multiply
    83,113.31x = 162,072.84 × 162,072.84
  4. Step 4: Simplify right side
    83,113.31x = 26,267,606,681.21
  5. Step 5: Solve for x
    x = 26,267,606,681.21/83,113.31
  6. Step 6: Final answer
    x = 316,045.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.