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Finding the Third Proportional to 121,672 and 162,752

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Solution

The third proportional to 121,672 and 162,752 is: 217,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,672 : 162,752 = 162,752 : x
  2. Step 2: Convert to fraction form
    121,672/162,752 = 162,752/x
  3. Step 3: Cross multiply
    121,672x = 162,752 × 162,752
  4. Step 4: Simplify right side
    121,672x = 26,488,213,504
  5. Step 5: Solve for x
    x = 26,488,213,504/121,672
  6. Step 6: Final answer
    x = 217,701.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.