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Finding the Third Proportional to 109,053 and 159,979.50

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Solution

The third proportional to 109,053 and 159,979.50 is: 234,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,053 : 159,979.50 = 159,979.50 : x
  2. Step 2: Convert to fraction form
    109,053/159,979.50 = 159,979.50/x
  3. Step 3: Cross multiply
    109,053x = 159,979.50 × 159,979.50
  4. Step 4: Simplify right side
    109,053x = 25,593,440,420.25
  5. Step 5: Solve for x
    x = 25,593,440,420.25/109,053
  6. Step 6: Final answer
    x = 234,688.09

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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.