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Finding the Third Proportional to 76,152 and 117,132

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Solution

The third proportional to 76,152 and 117,132 is: 180,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152 : 117,132 = 117,132 : x
  2. Step 2: Convert to fraction form
    76,152/117,132 = 117,132/x
  3. Step 3: Cross multiply
    76,152x = 117,132 × 117,132
  4. Step 4: Simplify right side
    76,152x = 13,719,905,424
  5. Step 5: Solve for x
    x = 13,719,905,424/76,152
  6. Step 6: Final answer
    x = 180,164.74

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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.