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Finding the Third Proportional to 75,258 and 110,121

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Solution

The third proportional to 75,258 and 110,121 is: 161,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 110,121 = 110,121 : x
  2. Step 2: Convert to fraction form
    75,258/110,121 = 110,121/x
  3. Step 3: Cross multiply
    75,258x = 110,121 × 110,121
  4. Step 4: Simplify right side
    75,258x = 12,126,634,641
  5. Step 5: Solve for x
    x = 12,126,634,641/75,258
  6. Step 6: Final answer
    x = 161,134.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.