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Finding the Third Proportional to 61,888.50 and 132,129

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Solution

The third proportional to 61,888.50 and 132,129 is: 282,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,888.50 : 132,129 = 132,129 : x
  2. Step 2: Convert to fraction form
    61,888.50/132,129 = 132,129/x
  3. Step 3: Cross multiply
    61,888.50x = 132,129 × 132,129
  4. Step 4: Simplify right side
    61,888.50x = 17,458,072,641
  5. Step 5: Solve for x
    x = 17,458,072,641/61,888.50
  6. Step 6: Final answer
    x = 282,089.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.