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Finding the Third Proportional to 49,125 and 115,473

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Solution

The third proportional to 49,125 and 115,473 is: 271,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125 : 115,473 = 115,473 : x
  2. Step 2: Convert to fraction form
    49,125/115,473 = 115,473/x
  3. Step 3: Cross multiply
    49,125x = 115,473 × 115,473
  4. Step 4: Simplify right side
    49,125x = 13,334,013,729
  5. Step 5: Solve for x
    x = 13,334,013,729/49,125
  6. Step 6: Final answer
    x = 271,430.30

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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.