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Finding the Third Proportional to 118,158 and 179,419.50

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Solution

The third proportional to 118,158 and 179,419.50 is: 272,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,158 : 179,419.50 = 179,419.50 : x
  2. Step 2: Convert to fraction form
    118,158/179,419.50 = 179,419.50/x
  3. Step 3: Cross multiply
    118,158x = 179,419.50 × 179,419.50
  4. Step 4: Simplify right side
    118,158x = 32,191,356,980.25
  5. Step 5: Solve for x
    x = 32,191,356,980.25/118,158
  6. Step 6: Final answer
    x = 272,443.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.