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Finding the Third Proportional to 102,714.75 and 162,981.75

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Solution

The third proportional to 102,714.75 and 162,981.75 is: 258,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.75 : 162,981.75 = 162,981.75 : x
  2. Step 2: Convert to fraction form
    102,714.75/162,981.75 = 162,981.75/x
  3. Step 3: Cross multiply
    102,714.75x = 162,981.75 × 162,981.75
  4. Step 4: Simplify right side
    102,714.75x = 26,563,050,833.06
  5. Step 5: Solve for x
    x = 26,563,050,833.06/102,714.75
  6. Step 6: Final answer
    x = 258,609.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.