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Finding the Third Proportional to 75,998 and 116,985

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Solution

The third proportional to 75,998 and 116,985 is: 180,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998 : 116,985 = 116,985 : x
  2. Step 2: Convert to fraction form
    75,998/116,985 = 116,985/x
  3. Step 3: Cross multiply
    75,998x = 116,985 × 116,985
  4. Step 4: Simplify right side
    75,998x = 13,685,490,225
  5. Step 5: Solve for x
    x = 13,685,490,225/75,998
  6. Step 6: Final answer
    x = 180,076.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.