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Finding the Third Proportional to 102,317 and 157,851

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Solution

The third proportional to 102,317 and 157,851 is: 243,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317 : 157,851 = 157,851 : x
  2. Step 2: Convert to fraction form
    102,317/157,851 = 157,851/x
  3. Step 3: Cross multiply
    102,317x = 157,851 × 157,851
  4. Step 4: Simplify right side
    102,317x = 24,916,938,201
  5. Step 5: Solve for x
    x = 24,916,938,201/102,317
  6. Step 6: Final answer
    x = 243,526.86

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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.