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Finding the Third Proportional to 119,721.16 and 180,461.67

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Solution

The third proportional to 119,721.16 and 180,461.67 is: 272,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,721.16 : 180,461.67 = 180,461.67 : x
  2. Step 2: Convert to fraction form
    119,721.16/180,461.67 = 180,461.67/x
  3. Step 3: Cross multiply
    119,721.16x = 180,461.67 × 180,461.67
  4. Step 4: Simplify right side
    119,721.16x = 32,566,415,015.92
  5. Step 5: Solve for x
    x = 32,566,415,015.92/119,721.16
  6. Step 6: Final answer
    x = 272,018.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.