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Finding the Third Proportional to 73,675.41 and 110,943

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Solution

The third proportional to 73,675.41 and 110,943 is: 167,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,675.41 : 110,943 = 110,943 : x
  2. Step 2: Convert to fraction form
    73,675.41/110,943 = 110,943/x
  3. Step 3: Cross multiply
    73,675.41x = 110,943 × 110,943
  4. Step 4: Simplify right side
    73,675.41x = 12,308,349,249
  5. Step 5: Solve for x
    x = 12,308,349,249/73,675.41
  6. Step 6: Final answer
    x = 167,061.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.