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Finding the Third Proportional to 76,098 and 117,117

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Solution

The third proportional to 76,098 and 117,117 is: 180,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098 : 117,117 = 117,117 : x
  2. Step 2: Convert to fraction form
    76,098/117,117 = 117,117/x
  3. Step 3: Cross multiply
    76,098x = 117,117 × 117,117
  4. Step 4: Simplify right side
    76,098x = 13,716,391,689
  5. Step 5: Solve for x
    x = 13,716,391,689/76,098
  6. Step 6: Final answer
    x = 180,246.42

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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.