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Finding the Third Proportional to 61,006 and 132,308

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Solution

The third proportional to 61,006 and 132,308 is: 286,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,006 : 132,308 = 132,308 : x
  2. Step 2: Convert to fraction form
    61,006/132,308 = 132,308/x
  3. Step 3: Cross multiply
    61,006x = 132,308 × 132,308
  4. Step 4: Simplify right side
    61,006x = 17,505,406,864
  5. Step 5: Solve for x
    x = 17,505,406,864/61,006
  6. Step 6: Final answer
    x = 286,945.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.