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Finding the Third Proportional to 65,884 and 98,646

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Solution

The third proportional to 65,884 and 98,646 is: 147,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884 : 98,646 = 98,646 : x
  2. Step 2: Convert to fraction form
    65,884/98,646 = 98,646/x
  3. Step 3: Cross multiply
    65,884x = 98,646 × 98,646
  4. Step 4: Simplify right side
    65,884x = 9,731,033,316
  5. Step 5: Solve for x
    x = 9,731,033,316/65,884
  6. Step 6: Final answer
    x = 147,699.49

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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.