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Finding the Third Proportional to 45,888 and 99,120

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Solution

The third proportional to 45,888 and 99,120 is: 214,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,888 : 99,120 = 99,120 : x
  2. Step 2: Convert to fraction form
    45,888/99,120 = 99,120/x
  3. Step 3: Cross multiply
    45,888x = 99,120 × 99,120
  4. Step 4: Simplify right side
    45,888x = 9,824,774,400
  5. Step 5: Solve for x
    x = 9,824,774,400/45,888
  6. Step 6: Final answer
    x = 214,103.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.