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Finding the Third Proportional to 64,368 and 133,207.50

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Solution

The third proportional to 64,368 and 133,207.50 is: 275,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,368 : 133,207.50 = 133,207.50 : x
  2. Step 2: Convert to fraction form
    64,368/133,207.50 = 133,207.50/x
  3. Step 3: Cross multiply
    64,368x = 133,207.50 × 133,207.50
  4. Step 4: Simplify right side
    64,368x = 17,744,238,056.25
  5. Step 5: Solve for x
    x = 17,744,238,056.25/64,368
  6. Step 6: Final answer
    x = 275,668.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.