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Finding the Third Proportional to 109,040 and 159,970

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Solution

The third proportional to 109,040 and 159,970 is: 234,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,040 : 159,970 = 159,970 : x
  2. Step 2: Convert to fraction form
    109,040/159,970 = 159,970/x
  3. Step 3: Cross multiply
    109,040x = 159,970 × 159,970
  4. Step 4: Simplify right side
    109,040x = 25,590,400,900
  5. Step 5: Solve for x
    x = 25,590,400,900/109,040
  6. Step 6: Final answer
    x = 234,688.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.