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Finding the Third Proportional to 76,460.63 and 118,101.38

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Solution

The third proportional to 76,460.63 and 118,101.38 is: 182,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.63 : 118,101.38 = 118,101.38 : x
  2. Step 2: Convert to fraction form
    76,460.63/118,101.38 = 118,101.38/x
  3. Step 3: Cross multiply
    76,460.63x = 118,101.38 × 118,101.38
  4. Step 4: Simplify right side
    76,460.63x = 13,947,934,776.89
  5. Step 5: Solve for x
    x = 13,947,934,776.89/76,460.63
  6. Step 6: Final answer
    x = 182,419.84

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