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Finding the Third Proportional to 52,570 and 121,577

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Solution

The third proportional to 52,570 and 121,577 is: 281,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570 : 121,577 = 121,577 : x
  2. Step 2: Convert to fraction form
    52,570/121,577 = 121,577/x
  3. Step 3: Cross multiply
    52,570x = 121,577 × 121,577
  4. Step 4: Simplify right side
    52,570x = 14,780,966,929
  5. Step 5: Solve for x
    x = 14,780,966,929/52,570
  6. Step 6: Final answer
    x = 281,167.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.