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Finding the Third Proportional to 103,951.13 and 160,894.69

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Solution

The third proportional to 103,951.13 and 160,894.69 is: 249,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,951.13 : 160,894.69 = 160,894.69 : x
  2. Step 2: Convert to fraction form
    103,951.13/160,894.69 = 160,894.69/x
  3. Step 3: Cross multiply
    103,951.13x = 160,894.69 × 160,894.69
  4. Step 4: Simplify right side
    103,951.13x = 25,887,100,465.72
  5. Step 5: Solve for x
    x = 25,887,100,465.72/103,951.13
  6. Step 6: Final answer
    x = 249,031.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.