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Finding the Third Proportional to 109,174 and 163,090

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Solution

The third proportional to 109,174 and 163,090 is: 243,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,174 : 163,090 = 163,090 : x
  2. Step 2: Convert to fraction form
    109,174/163,090 = 163,090/x
  3. Step 3: Cross multiply
    109,174x = 163,090 × 163,090
  4. Step 4: Simplify right side
    109,174x = 26,598,348,100
  5. Step 5: Solve for x
    x = 26,598,348,100/109,174
  6. Step 6: Final answer
    x = 243,632.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.