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Finding the Third Proportional to 77,914 and 116,871

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Solution

The third proportional to 77,914 and 116,871 is: 175,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,914 : 116,871 = 116,871 : x
  2. Step 2: Convert to fraction form
    77,914/116,871 = 116,871/x
  3. Step 3: Cross multiply
    77,914x = 116,871 × 116,871
  4. Step 4: Simplify right side
    77,914x = 13,658,830,641
  5. Step 5: Solve for x
    x = 13,658,830,641/77,914
  6. Step 6: Final answer
    x = 175,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.