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Finding the Third Proportional to 101,564 and 154,508

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Solution

The third proportional to 101,564 and 154,508 is: 235,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564 : 154,508 = 154,508 : x
  2. Step 2: Convert to fraction form
    101,564/154,508 = 154,508/x
  3. Step 3: Cross multiply
    101,564x = 154,508 × 154,508
  4. Step 4: Simplify right side
    101,564x = 23,872,722,064
  5. Step 5: Solve for x
    x = 23,872,722,064/101,564
  6. Step 6: Final answer
    x = 235,051.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.