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Finding the Third Proportional to 76,930.50 and 116,421

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Solution

The third proportional to 76,930.50 and 116,421 is: 176,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.50 : 116,421 = 116,421 : x
  2. Step 2: Convert to fraction form
    76,930.50/116,421 = 116,421/x
  3. Step 3: Cross multiply
    76,930.50x = 116,421 × 116,421
  4. Step 4: Simplify right side
    76,930.50x = 13,553,849,241
  5. Step 5: Solve for x
    x = 13,553,849,241/76,930.50
  6. Step 6: Final answer
    x = 176,183.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.