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Finding the Third Proportional to 61,887.50 and 132,127

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Solution

The third proportional to 61,887.50 and 132,127 is: 282,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,887.50 : 132,127 = 132,127 : x
  2. Step 2: Convert to fraction form
    61,887.50/132,127 = 132,127/x
  3. Step 3: Cross multiply
    61,887.50x = 132,127 × 132,127
  4. Step 4: Simplify right side
    61,887.50x = 17,457,544,129
  5. Step 5: Solve for x
    x = 17,457,544,129/61,887.50
  6. Step 6: Final answer
    x = 282,085.14

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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.