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Finding the Third Proportional to 64,002 and 99,623

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Solution

The third proportional to 64,002 and 99,623 is: 155,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002 : 99,623 = 99,623 : x
  2. Step 2: Convert to fraction form
    64,002/99,623 = 99,623/x
  3. Step 3: Cross multiply
    64,002x = 99,623 × 99,623
  4. Step 4: Simplify right side
    64,002x = 9,924,742,129
  5. Step 5: Solve for x
    x = 9,924,742,129/64,002
  6. Step 6: Final answer
    x = 155,069.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.