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Finding the Third Proportional to 61,638.75 and 132,916.50

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Solution

The third proportional to 61,638.75 and 132,916.50 is: 286,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,638.75 : 132,916.50 = 132,916.50 : x
  2. Step 2: Convert to fraction form
    61,638.75/132,916.50 = 132,916.50/x
  3. Step 3: Cross multiply
    61,638.75x = 132,916.50 × 132,916.50
  4. Step 4: Simplify right side
    61,638.75x = 17,666,795,972.25
  5. Step 5: Solve for x
    x = 17,666,795,972.25/61,638.75
  6. Step 6: Final answer
    x = 286,618.34

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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.