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Finding the Third Proportional to 53,510 and 80,071

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Solution

The third proportional to 53,510 and 80,071 is: 119,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,510 : 80,071 = 80,071 : x
  2. Step 2: Convert to fraction form
    53,510/80,071 = 80,071/x
  3. Step 3: Cross multiply
    53,510x = 80,071 × 80,071
  4. Step 4: Simplify right side
    53,510x = 6,411,365,041
  5. Step 5: Solve for x
    x = 6,411,365,041/53,510
  6. Step 6: Final answer
    x = 119,816.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.