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Finding the Third Proportional to 119,715.75 and 178,535.25

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Solution

The third proportional to 119,715.75 and 178,535.25 is: 266,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,715.75 : 178,535.25 = 178,535.25 : x
  2. Step 2: Convert to fraction form
    119,715.75/178,535.25 = 178,535.25/x
  3. Step 3: Cross multiply
    119,715.75x = 178,535.25 × 178,535.25
  4. Step 4: Simplify right side
    119,715.75x = 31,874,835,492.56
  5. Step 5: Solve for x
    x = 31,874,835,492.56/119,715.75
  6. Step 6: Final answer
    x = 266,254.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.