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Finding the Third Proportional to 64,894 and 138,152

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Solution

The third proportional to 64,894 and 138,152 is: 294,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894 : 138,152 = 138,152 : x
  2. Step 2: Convert to fraction form
    64,894/138,152 = 138,152/x
  3. Step 3: Cross multiply
    64,894x = 138,152 × 138,152
  4. Step 4: Simplify right side
    64,894x = 19,085,975,104
  5. Step 5: Solve for x
    x = 19,085,975,104/64,894
  6. Step 6: Final answer
    x = 294,110.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.