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Finding the Third Proportional to 119,722.50 and 174,318.75

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Solution

The third proportional to 119,722.50 and 174,318.75 is: 253,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,722.50 : 174,318.75 = 174,318.75 : x
  2. Step 2: Convert to fraction form
    119,722.50/174,318.75 = 174,318.75/x
  3. Step 3: Cross multiply
    119,722.50x = 174,318.75 × 174,318.75
  4. Step 4: Simplify right side
    119,722.50x = 30,387,026,601.56
  5. Step 5: Solve for x
    x = 30,387,026,601.56/119,722.50
  6. Step 6: Final answer
    x = 253,812.16

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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.