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Finding the Third Proportional to 64,260.50 and 136,297

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Solution

The third proportional to 64,260.50 and 136,297 is: 289,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,260.50 : 136,297 = 136,297 : x
  2. Step 2: Convert to fraction form
    64,260.50/136,297 = 136,297/x
  3. Step 3: Cross multiply
    64,260.50x = 136,297 × 136,297
  4. Step 4: Simplify right side
    64,260.50x = 18,576,872,209
  5. Step 5: Solve for x
    x = 18,576,872,209/64,260.50
  6. Step 6: Final answer
    x = 289,086.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.