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Finding the Third Proportional to 102,324 and 157,857

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Solution

The third proportional to 102,324 and 157,857 is: 243,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,324 : 157,857 = 157,857 : x
  2. Step 2: Convert to fraction form
    102,324/157,857 = 157,857/x
  3. Step 3: Cross multiply
    102,324x = 157,857 × 157,857
  4. Step 4: Simplify right side
    102,324x = 24,918,832,449
  5. Step 5: Solve for x
    x = 24,918,832,449/102,324
  6. Step 6: Final answer
    x = 243,528.72

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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.