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Finding the Third Proportional to 65,888 and 98,592

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Solution

The third proportional to 65,888 and 98,592 is: 147,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888 : 98,592 = 98,592 : x
  2. Step 2: Convert to fraction form
    65,888/98,592 = 98,592/x
  3. Step 3: Cross multiply
    65,888x = 98,592 × 98,592
  4. Step 4: Simplify right side
    65,888x = 9,720,382,464
  5. Step 5: Solve for x
    x = 9,720,382,464/65,888
  6. Step 6: Final answer
    x = 147,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.