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Finding the Third Proportional to 52,842 and 79,267.50

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Solution

The third proportional to 52,842 and 79,267.50 is: 118,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 79,267.50 = 79,267.50 : x
  2. Step 2: Convert to fraction form
    52,842/79,267.50 = 79,267.50/x
  3. Step 3: Cross multiply
    52,842x = 79,267.50 × 79,267.50
  4. Step 4: Simplify right side
    52,842x = 6,283,336,556.25
  5. Step 5: Solve for x
    x = 6,283,336,556.25/52,842
  6. Step 6: Final answer
    x = 118,908.00

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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.