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Finding the Third Proportional to 109,283.79 and 168,597.62

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Solution

The third proportional to 109,283.79 and 168,597.62 is: 260,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,283.79 : 168,597.62 = 168,597.62 : x
  2. Step 2: Convert to fraction form
    109,283.79/168,597.62 = 168,597.62/x
  3. Step 3: Cross multiply
    109,283.79x = 168,597.62 × 168,597.62
  4. Step 4: Simplify right side
    109,283.79x = 28,425,158,826.35
  5. Step 5: Solve for x
    x = 28,425,158,826.35/109,283.79
  6. Step 6: Final answer
    x = 260,104.07

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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.