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Finding the Third Proportional to 52,852.50 and 116,731.13

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Solution

The third proportional to 52,852.50 and 116,731.13 is: 257,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852.50 : 116,731.13 = 116,731.13 : x
  2. Step 2: Convert to fraction form
    52,852.50/116,731.13 = 116,731.13/x
  3. Step 3: Cross multiply
    52,852.50x = 116,731.13 × 116,731.13
  4. Step 4: Simplify right side
    52,852.50x = 13,626,155,543.77
  5. Step 5: Solve for x
    x = 13,626,155,543.77/52,852.50
  6. Step 6: Final answer
    x = 257,814.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.