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Finding the Third Proportional to 47,574 and 112,509

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Solution

The third proportional to 47,574 and 112,509 is: 266,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574 : 112,509 = 112,509 : x
  2. Step 2: Convert to fraction form
    47,574/112,509 = 112,509/x
  3. Step 3: Cross multiply
    47,574x = 112,509 × 112,509
  4. Step 4: Simplify right side
    47,574x = 12,658,275,081
  5. Step 5: Solve for x
    x = 12,658,275,081/47,574
  6. Step 6: Final answer
    x = 266,075.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.