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Finding the Third Proportional to 64,178 and 98,775

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Solution

The third proportional to 64,178 and 98,775 is: 152,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178 : 98,775 = 98,775 : x
  2. Step 2: Convert to fraction form
    64,178/98,775 = 98,775/x
  3. Step 3: Cross multiply
    64,178x = 98,775 × 98,775
  4. Step 4: Simplify right side
    64,178x = 9,756,500,625
  5. Step 5: Solve for x
    x = 9,756,500,625/64,178
  6. Step 6: Final answer
    x = 152,022.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.