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Finding the Third Proportional to 61,535 and 145,179

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Solution

The third proportional to 61,535 and 145,179 is: 342,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,535 : 145,179 = 145,179 : x
  2. Step 2: Convert to fraction form
    61,535/145,179 = 145,179/x
  3. Step 3: Cross multiply
    61,535x = 145,179 × 145,179
  4. Step 4: Simplify right side
    61,535x = 21,076,942,041
  5. Step 5: Solve for x
    x = 21,076,942,041/61,535
  6. Step 6: Final answer
    x = 342,519.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.