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Finding the Third Proportional to 94,770 and 147,857

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Solution

The third proportional to 94,770 and 147,857 is: 230,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,770 : 147,857 = 147,857 : x
  2. Step 2: Convert to fraction form
    94,770/147,857 = 147,857/x
  3. Step 3: Cross multiply
    94,770x = 147,857 × 147,857
  4. Step 4: Simplify right side
    94,770x = 21,861,692,449
  5. Step 5: Solve for x
    x = 21,861,692,449/94,770
  6. Step 6: Final answer
    x = 230,681.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.