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Finding the Third Proportional to 76,308.50 and 159,587

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Solution

The third proportional to 76,308.50 and 159,587 is: 333,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.50 : 159,587 = 159,587 : x
  2. Step 2: Convert to fraction form
    76,308.50/159,587 = 159,587/x
  3. Step 3: Cross multiply
    76,308.50x = 159,587 × 159,587
  4. Step 4: Simplify right side
    76,308.50x = 25,468,010,569
  5. Step 5: Solve for x
    x = 25,468,010,569/76,308.50
  6. Step 6: Final answer
    x = 333,750.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.