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Finding the Third Proportional to 119,642.50 and 174,270.50

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Solution

The third proportional to 119,642.50 and 174,270.50 is: 253,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642.50 : 174,270.50 = 174,270.50 : x
  2. Step 2: Convert to fraction form
    119,642.50/174,270.50 = 174,270.50/x
  3. Step 3: Cross multiply
    119,642.50x = 174,270.50 × 174,270.50
  4. Step 4: Simplify right side
    119,642.50x = 30,370,207,170.25
  5. Step 5: Solve for x
    x = 30,370,207,170.25/119,642.50
  6. Step 6: Final answer
    x = 253,841.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.