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Finding the Third Proportional to 47,134.50 and 99,117

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Solution

The third proportional to 47,134.50 and 99,117 is: 208,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.50 : 99,117 = 99,117 : x
  2. Step 2: Convert to fraction form
    47,134.50/99,117 = 99,117/x
  3. Step 3: Cross multiply
    47,134.50x = 99,117 × 99,117
  4. Step 4: Simplify right side
    47,134.50x = 9,824,179,689
  5. Step 5: Solve for x
    x = 9,824,179,689/47,134.50
  6. Step 6: Final answer
    x = 208,428.64

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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.