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Finding the Third Proportional to 47,114 and 98,875

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Solution

The third proportional to 47,114 and 98,875 is: 207,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114 : 98,875 = 98,875 : x
  2. Step 2: Convert to fraction form
    47,114/98,875 = 98,875/x
  3. Step 3: Cross multiply
    47,114x = 98,875 × 98,875
  4. Step 4: Simplify right side
    47,114x = 9,776,265,625
  5. Step 5: Solve for x
    x = 9,776,265,625/47,114
  6. Step 6: Final answer
    x = 207,502.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.