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Finding the Third Proportional to 109,233 and 147,580

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Solution

The third proportional to 109,233 and 147,580 is: 199,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,233 : 147,580 = 147,580 : x
  2. Step 2: Convert to fraction form
    109,233/147,580 = 147,580/x
  3. Step 3: Cross multiply
    109,233x = 147,580 × 147,580
  4. Step 4: Simplify right side
    109,233x = 21,779,856,400
  5. Step 5: Solve for x
    x = 21,779,856,400/109,233
  6. Step 6: Final answer
    x = 199,388.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.