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Finding the Third Proportional to 61,577.75 and 133,276

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Solution

The third proportional to 61,577.75 and 133,276 is: 288,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,577.75 : 133,276 = 133,276 : x
  2. Step 2: Convert to fraction form
    61,577.75/133,276 = 133,276/x
  3. Step 3: Cross multiply
    61,577.75x = 133,276 × 133,276
  4. Step 4: Simplify right side
    61,577.75x = 17,762,492,176
  5. Step 5: Solve for x
    x = 17,762,492,176/61,577.75
  6. Step 6: Final answer
    x = 288,456.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.