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Finding the Third Proportional to 107,730 and 185,247

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Solution

The third proportional to 107,730 and 185,247 is: 318,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730 : 185,247 = 185,247 : x
  2. Step 2: Convert to fraction form
    107,730/185,247 = 185,247/x
  3. Step 3: Cross multiply
    107,730x = 185,247 × 185,247
  4. Step 4: Simplify right side
    107,730x = 34,316,451,009
  5. Step 5: Solve for x
    x = 34,316,451,009/107,730
  6. Step 6: Final answer
    x = 318,541.27

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.