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Finding the Third Proportional to 77,444 and 119,658

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Solution

The third proportional to 77,444 and 119,658 is: 184,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,444 : 119,658 = 119,658 : x
  2. Step 2: Convert to fraction form
    77,444/119,658 = 119,658/x
  3. Step 3: Cross multiply
    77,444x = 119,658 × 119,658
  4. Step 4: Simplify right side
    77,444x = 14,318,036,964
  5. Step 5: Solve for x
    x = 14,318,036,964/77,444
  6. Step 6: Final answer
    x = 184,882.46

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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.