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Finding the Third Proportional to 97,028 and 145,902

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Solution

The third proportional to 97,028 and 145,902 is: 219,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,028 : 145,902 = 145,902 : x
  2. Step 2: Convert to fraction form
    97,028/145,902 = 145,902/x
  3. Step 3: Cross multiply
    97,028x = 145,902 × 145,902
  4. Step 4: Simplify right side
    97,028x = 21,287,393,604
  5. Step 5: Solve for x
    x = 21,287,393,604/97,028
  6. Step 6: Final answer
    x = 219,394.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.