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Finding the Third Proportional to 110,301 and 147,915

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Solution

The third proportional to 110,301 and 147,915 is: 198,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,301 : 147,915 = 147,915 : x
  2. Step 2: Convert to fraction form
    110,301/147,915 = 147,915/x
  3. Step 3: Cross multiply
    110,301x = 147,915 × 147,915
  4. Step 4: Simplify right side
    110,301x = 21,878,847,225
  5. Step 5: Solve for x
    x = 21,878,847,225/110,301
  6. Step 6: Final answer
    x = 198,355.84

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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.