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Finding the Third Proportional to 93,982 and 145,748

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Solution

The third proportional to 93,982 and 145,748 is: 226,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 145,748 = 145,748 : x
  2. Step 2: Convert to fraction form
    93,982/145,748 = 145,748/x
  3. Step 3: Cross multiply
    93,982x = 145,748 × 145,748
  4. Step 4: Simplify right side
    93,982x = 21,242,479,504
  5. Step 5: Solve for x
    x = 21,242,479,504/93,982
  6. Step 6: Final answer
    x = 226,027.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.