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Finding the Third Proportional to 104,207.63 and 161,460

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Solution

The third proportional to 104,207.63 and 161,460 is: 250,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,207.63 : 161,460 = 161,460 : x
  2. Step 2: Convert to fraction form
    104,207.63/161,460 = 161,460/x
  3. Step 3: Cross multiply
    104,207.63x = 161,460 × 161,460
  4. Step 4: Simplify right side
    104,207.63x = 26,069,331,600
  5. Step 5: Solve for x
    x = 26,069,331,600/104,207.63
  6. Step 6: Final answer
    x = 250,167.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.