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Finding the Third Proportional to 64,104 and 102,988

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Solution

The third proportional to 64,104 and 102,988 is: 165,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104 : 102,988 = 102,988 : x
  2. Step 2: Convert to fraction form
    64,104/102,988 = 102,988/x
  3. Step 3: Cross multiply
    64,104x = 102,988 × 102,988
  4. Step 4: Simplify right side
    64,104x = 10,606,528,144
  5. Step 5: Solve for x
    x = 10,606,528,144/64,104
  6. Step 6: Final answer
    x = 165,458.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.