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Finding the Third Proportional to 101,548 and 157,871

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Solution

The third proportional to 101,548 and 157,871 is: 245,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,548 : 157,871 = 157,871 : x
  2. Step 2: Convert to fraction form
    101,548/157,871 = 157,871/x
  3. Step 3: Cross multiply
    101,548x = 157,871 × 157,871
  4. Step 4: Simplify right side
    101,548x = 24,923,252,641
  5. Step 5: Solve for x
    x = 24,923,252,641/101,548
  6. Step 6: Final answer
    x = 245,433.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.