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Finding the Third Proportional to 103,813.88 and 160,320.94

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Solution

The third proportional to 103,813.88 and 160,320.94 is: 247,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813.88 : 160,320.94 = 160,320.94 : x
  2. Step 2: Convert to fraction form
    103,813.88/160,320.94 = 160,320.94/x
  3. Step 3: Cross multiply
    103,813.88x = 160,320.94 × 160,320.94
  4. Step 4: Simplify right side
    103,813.88x = 25,702,803,000.88
  5. Step 5: Solve for x
    x = 25,702,803,000.88/103,813.88
  6. Step 6: Final answer
    x = 247,585.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.