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Finding the Third Proportional to 62,500 and 96,054

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Solution

The third proportional to 62,500 and 96,054 is: 147,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500 : 96,054 = 96,054 : x
  2. Step 2: Convert to fraction form
    62,500/96,054 = 96,054/x
  3. Step 3: Cross multiply
    62,500x = 96,054 × 96,054
  4. Step 4: Simplify right side
    62,500x = 9,226,370,916
  5. Step 5: Solve for x
    x = 9,226,370,916/62,500
  6. Step 6: Final answer
    x = 147,621.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.