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Finding the Third Proportional to 102,763.88 and 161,430.75

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Solution

The third proportional to 102,763.88 and 161,430.75 is: 253,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,763.88 : 161,430.75 = 161,430.75 : x
  2. Step 2: Convert to fraction form
    102,763.88/161,430.75 = 161,430.75/x
  3. Step 3: Cross multiply
    102,763.88x = 161,430.75 × 161,430.75
  4. Step 4: Simplify right side
    102,763.88x = 26,059,887,045.56
  5. Step 5: Solve for x
    x = 26,059,887,045.56/102,763.88
  6. Step 6: Final answer
    x = 253,589.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.