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Finding the Third Proportional to 52,477 and 112,729

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Solution

The third proportional to 52,477 and 112,729 is: 242,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477 : 112,729 = 112,729 : x
  2. Step 2: Convert to fraction form
    52,477/112,729 = 112,729/x
  3. Step 3: Cross multiply
    52,477x = 112,729 × 112,729
  4. Step 4: Simplify right side
    52,477x = 12,707,827,441
  5. Step 5: Solve for x
    x = 12,707,827,441/52,477
  6. Step 6: Final answer
    x = 242,159.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.