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Finding the Third Proportional to 122,283.84 and 160,802.72

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Solution

The third proportional to 122,283.84 and 160,802.72 is: 211,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,283.84 : 160,802.72 = 160,802.72 : x
  2. Step 2: Convert to fraction form
    122,283.84/160,802.72 = 160,802.72/x
  3. Step 3: Cross multiply
    122,283.84x = 160,802.72 × 160,802.72
  4. Step 4: Simplify right side
    122,283.84x = 25,857,514,357.39
  5. Step 5: Solve for x
    x = 25,857,514,357.39/122,283.84
  6. Step 6: Final answer
    x = 211,454.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.