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Finding the Third Proportional to 102,326 and 157,860

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Solution

The third proportional to 102,326 and 157,860 is: 243,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,326 : 157,860 = 157,860 : x
  2. Step 2: Convert to fraction form
    102,326/157,860 = 157,860/x
  3. Step 3: Cross multiply
    102,326x = 157,860 × 157,860
  4. Step 4: Simplify right side
    102,326x = 24,919,779,600
  5. Step 5: Solve for x
    x = 24,919,779,600/102,326
  6. Step 6: Final answer
    x = 243,533.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.