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Finding the Third Proportional to 52,564 and 121,562

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Solution

The third proportional to 52,564 and 121,562 is: 281,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564 : 121,562 = 121,562 : x
  2. Step 2: Convert to fraction form
    52,564/121,562 = 121,562/x
  3. Step 3: Cross multiply
    52,564x = 121,562 × 121,562
  4. Step 4: Simplify right side
    52,564x = 14,777,319,844
  5. Step 5: Solve for x
    x = 14,777,319,844/52,564
  6. Step 6: Final answer
    x = 281,130.05

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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.