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Finding the Third Proportional to 117,543.75 and 179,070

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Solution

The third proportional to 117,543.75 and 179,070 is: 272,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.75 : 179,070 = 179,070 : x
  2. Step 2: Convert to fraction form
    117,543.75/179,070 = 179,070/x
  3. Step 3: Cross multiply
    117,543.75x = 179,070 × 179,070
  4. Step 4: Simplify right side
    117,543.75x = 32,066,064,900
  5. Step 5: Solve for x
    x = 32,066,064,900/117,543.75
  6. Step 6: Final answer
    x = 272,801.11

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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.