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Finding the Third Proportional to 53,230.50 and 79,852.50

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Solution

The third proportional to 53,230.50 and 79,852.50 is: 119,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,230.50 : 79,852.50 = 79,852.50 : x
  2. Step 2: Convert to fraction form
    53,230.50/79,852.50 = 79,852.50/x
  3. Step 3: Cross multiply
    53,230.50x = 79,852.50 × 79,852.50
  4. Step 4: Simplify right side
    53,230.50x = 6,376,421,756.25
  5. Step 5: Solve for x
    x = 6,376,421,756.25/53,230.50
  6. Step 6: Final answer
    x = 119,788.88

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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.