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Finding the Third Proportional to 75,117 and 116,985

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Solution

The third proportional to 75,117 and 116,985 is: 182,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,117 : 116,985 = 116,985 : x
  2. Step 2: Convert to fraction form
    75,117/116,985 = 116,985/x
  3. Step 3: Cross multiply
    75,117x = 116,985 × 116,985
  4. Step 4: Simplify right side
    75,117x = 13,685,490,225
  5. Step 5: Solve for x
    x = 13,685,490,225/75,117
  6. Step 6: Final answer
    x = 182,188.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.