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Finding the Third Proportional to 56,637 and 132,277.50

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Solution

The third proportional to 56,637 and 132,277.50 is: 308,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,637 : 132,277.50 = 132,277.50 : x
  2. Step 2: Convert to fraction form
    56,637/132,277.50 = 132,277.50/x
  3. Step 3: Cross multiply
    56,637x = 132,277.50 × 132,277.50
  4. Step 4: Simplify right side
    56,637x = 17,497,337,006.25
  5. Step 5: Solve for x
    x = 17,497,337,006.25/56,637
  6. Step 6: Final answer
    x = 308,938.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.