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Finding the Third Proportional to 59,838.75 and 136,657.13

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Solution

The third proportional to 59,838.75 and 136,657.13 is: 312,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,838.75 : 136,657.13 = 136,657.13 : x
  2. Step 2: Convert to fraction form
    59,838.75/136,657.13 = 136,657.13/x
  3. Step 3: Cross multiply
    59,838.75x = 136,657.13 × 136,657.13
  4. Step 4: Simplify right side
    59,838.75x = 18,675,169,813.27
  5. Step 5: Solve for x
    x = 18,675,169,813.27/59,838.75
  6. Step 6: Final answer
    x = 312,091.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.