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Finding the Third Proportional to 102,880.13 and 146,836.55

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Solution

The third proportional to 102,880.13 and 146,836.55 is: 209,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,880.13 : 146,836.55 = 146,836.55 : x
  2. Step 2: Convert to fraction form
    102,880.13/146,836.55 = 146,836.55/x
  3. Step 3: Cross multiply
    102,880.13x = 146,836.55 × 146,836.55
  4. Step 4: Simplify right side
    102,880.13x = 21,560,971,498.17
  5. Step 5: Solve for x
    x = 21,560,971,498.17/102,880.13
  6. Step 6: Final answer
    x = 209,573.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.