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Finding the Third Proportional to 118,959 and 161,483.25

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Solution

The third proportional to 118,959 and 161,483.25 is: 219,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,959 : 161,483.25 = 161,483.25 : x
  2. Step 2: Convert to fraction form
    118,959/161,483.25 = 161,483.25/x
  3. Step 3: Cross multiply
    118,959x = 161,483.25 × 161,483.25
  4. Step 4: Simplify right side
    118,959x = 26,076,840,030.56
  5. Step 5: Solve for x
    x = 26,076,840,030.56/118,959
  6. Step 6: Final answer
    x = 219,208.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.