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Finding the Third Proportional to 62,298.75 and 132,752.63

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Solution

The third proportional to 62,298.75 and 132,752.63 is: 282,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,298.75 : 132,752.63 = 132,752.63 : x
  2. Step 2: Convert to fraction form
    62,298.75/132,752.63 = 132,752.63/x
  3. Step 3: Cross multiply
    62,298.75x = 132,752.63 × 132,752.63
  4. Step 4: Simplify right side
    62,298.75x = 17,623,259,444.39
  5. Step 5: Solve for x
    x = 17,623,259,444.39/62,298.75
  6. Step 6: Final answer
    x = 282,883.03

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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.