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Finding the Third Proportional to 74,984 and 119,249.75

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Solution

The third proportional to 74,984 and 119,249.75 is: 189,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984 : 119,249.75 = 119,249.75 : x
  2. Step 2: Convert to fraction form
    74,984/119,249.75 = 119,249.75/x
  3. Step 3: Cross multiply
    74,984x = 119,249.75 × 119,249.75
  4. Step 4: Simplify right side
    74,984x = 14,220,502,875.06
  5. Step 5: Solve for x
    x = 14,220,502,875.06/74,984
  6. Step 6: Final answer
    x = 189,647.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.