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Finding the Third Proportional to 64,730 and 99,975

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Solution

The third proportional to 64,730 and 99,975 is: 154,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,730 : 99,975 = 99,975 : x
  2. Step 2: Convert to fraction form
    64,730/99,975 = 99,975/x
  3. Step 3: Cross multiply
    64,730x = 99,975 × 99,975
  4. Step 4: Simplify right side
    64,730x = 9,995,000,625
  5. Step 5: Solve for x
    x = 9,995,000,625/64,730
  6. Step 6: Final answer
    x = 154,410.64

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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.