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Finding the Third Proportional to 45,988 and 98,088

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Solution

The third proportional to 45,988 and 98,088 is: 209,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988 : 98,088 = 98,088 : x
  2. Step 2: Convert to fraction form
    45,988/98,088 = 98,088/x
  3. Step 3: Cross multiply
    45,988x = 98,088 × 98,088
  4. Step 4: Simplify right side
    45,988x = 9,621,255,744
  5. Step 5: Solve for x
    x = 9,621,255,744/45,988
  6. Step 6: Final answer
    x = 209,212.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.