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Finding the Third Proportional to 62,315 and 132,419.50

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Solution

The third proportional to 62,315 and 132,419.50 is: 281,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,315 : 132,419.50 = 132,419.50 : x
  2. Step 2: Convert to fraction form
    62,315/132,419.50 = 132,419.50/x
  3. Step 3: Cross multiply
    62,315x = 132,419.50 × 132,419.50
  4. Step 4: Simplify right side
    62,315x = 17,534,923,980.25
  5. Step 5: Solve for x
    x = 17,534,923,980.25/62,315
  6. Step 6: Final answer
    x = 281,391.70

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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.