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Finding the Third Proportional to 64,507 and 136,846

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Solution

The third proportional to 64,507 and 136,846 is: 290,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507 : 136,846 = 136,846 : x
  2. Step 2: Convert to fraction form
    64,507/136,846 = 136,846/x
  3. Step 3: Cross multiply
    64,507x = 136,846 × 136,846
  4. Step 4: Simplify right side
    64,507x = 18,726,827,716
  5. Step 5: Solve for x
    x = 18,726,827,716/64,507
  6. Step 6: Final answer
    x = 290,306.91

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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.