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Finding the Third Proportional to 119,720.50 and 174,315.50

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Solution

The third proportional to 119,720.50 and 174,315.50 is: 253,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,720.50 : 174,315.50 = 174,315.50 : x
  2. Step 2: Convert to fraction form
    119,720.50/174,315.50 = 174,315.50/x
  3. Step 3: Cross multiply
    119,720.50x = 174,315.50 × 174,315.50
  4. Step 4: Simplify right side
    119,720.50x = 30,385,893,540.25
  5. Step 5: Solve for x
    x = 30,385,893,540.25/119,720.50
  6. Step 6: Final answer
    x = 253,806.94

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