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Finding the Third Proportional to 109,090 and 160,047

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Solution

The third proportional to 109,090 and 160,047 is: 234,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090 : 160,047 = 160,047 : x
  2. Step 2: Convert to fraction form
    109,090/160,047 = 160,047/x
  3. Step 3: Cross multiply
    109,090x = 160,047 × 160,047
  4. Step 4: Simplify right side
    109,090x = 25,615,042,209
  5. Step 5: Solve for x
    x = 25,615,042,209/109,090
  6. Step 6: Final answer
    x = 234,806.51

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Why These Related Problems?

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