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Finding the Third Proportional to 61,520.25 and 100,455

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Solution

The third proportional to 61,520.25 and 100,455 is: 164,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520.25 : 100,455 = 100,455 : x
  2. Step 2: Convert to fraction form
    61,520.25/100,455 = 100,455/x
  3. Step 3: Cross multiply
    61,520.25x = 100,455 × 100,455
  4. Step 4: Simplify right side
    61,520.25x = 10,091,207,025
  5. Step 5: Solve for x
    x = 10,091,207,025/61,520.25
  6. Step 6: Final answer
    x = 164,030.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.