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Finding the Third Proportional to 75,524 and 105,871

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Solution

The third proportional to 75,524 and 105,871 is: 148,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524 : 105,871 = 105,871 : x
  2. Step 2: Convert to fraction form
    75,524/105,871 = 105,871/x
  3. Step 3: Cross multiply
    75,524x = 105,871 × 105,871
  4. Step 4: Simplify right side
    75,524x = 11,208,668,641
  5. Step 5: Solve for x
    x = 11,208,668,641/75,524
  6. Step 6: Final answer
    x = 148,412.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.