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Finding the Third Proportional to 71,254 and 153,228

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Solution

The third proportional to 71,254 and 153,228 is: 329,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254 : 153,228 = 153,228 : x
  2. Step 2: Convert to fraction form
    71,254/153,228 = 153,228/x
  3. Step 3: Cross multiply
    71,254x = 153,228 × 153,228
  4. Step 4: Simplify right side
    71,254x = 23,478,819,984
  5. Step 5: Solve for x
    x = 23,478,819,984/71,254
  6. Step 6: Final answer
    x = 329,508.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.