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Finding the Third Proportional to 60,646 and 133,200

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Solution

The third proportional to 60,646 and 133,200 is: 292,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646 : 133,200 = 133,200 : x
  2. Step 2: Convert to fraction form
    60,646/133,200 = 133,200/x
  3. Step 3: Cross multiply
    60,646x = 133,200 × 133,200
  4. Step 4: Simplify right side
    60,646x = 17,742,240,000
  5. Step 5: Solve for x
    x = 17,742,240,000/60,646
  6. Step 6: Final answer
    x = 292,554.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.