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Finding the Third Proportional to 93,240 and 142,992

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Solution

The third proportional to 93,240 and 142,992 is: 219,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,240 : 142,992 = 142,992 : x
  2. Step 2: Convert to fraction form
    93,240/142,992 = 142,992/x
  3. Step 3: Cross multiply
    93,240x = 142,992 × 142,992
  4. Step 4: Simplify right side
    93,240x = 20,446,712,064
  5. Step 5: Solve for x
    x = 20,446,712,064/93,240
  6. Step 6: Final answer
    x = 219,291.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.