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Finding the Third Proportional to 47,754 and 112,329

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Solution

The third proportional to 47,754 and 112,329 is: 264,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754 : 112,329 = 112,329 : x
  2. Step 2: Convert to fraction form
    47,754/112,329 = 112,329/x
  3. Step 3: Cross multiply
    47,754x = 112,329 × 112,329
  4. Step 4: Simplify right side
    47,754x = 12,617,804,241
  5. Step 5: Solve for x
    x = 12,617,804,241/47,754
  6. Step 6: Final answer
    x = 264,225.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.