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Finding the Third Proportional to 64,908 and 136,366.88

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Solution

The third proportional to 64,908 and 136,366.88 is: 286,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,908 : 136,366.88 = 136,366.88 : x
  2. Step 2: Convert to fraction form
    64,908/136,366.88 = 136,366.88/x
  3. Step 3: Cross multiply
    64,908x = 136,366.88 × 136,366.88
  4. Step 4: Simplify right side
    64,908x = 18,595,924,597.27
  5. Step 5: Solve for x
    x = 18,595,924,597.27/64,908
  6. Step 6: Final answer
    x = 286,496.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.