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Finding the Third Proportional to 64,392 and 98,509

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Solution

The third proportional to 64,392 and 98,509 is: 150,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,392 : 98,509 = 98,509 : x
  2. Step 2: Convert to fraction form
    64,392/98,509 = 98,509/x
  3. Step 3: Cross multiply
    64,392x = 98,509 × 98,509
  4. Step 4: Simplify right side
    64,392x = 9,704,023,081
  5. Step 5: Solve for x
    x = 9,704,023,081/64,392
  6. Step 6: Final answer
    x = 150,702.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.