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Finding the Third Proportional to 53,620 and 70,510

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Solution

The third proportional to 53,620 and 70,510 is: 92,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,620 : 70,510 = 70,510 : x
  2. Step 2: Convert to fraction form
    53,620/70,510 = 70,510/x
  3. Step 3: Cross multiply
    53,620x = 70,510 × 70,510
  4. Step 4: Simplify right side
    53,620x = 4,971,660,100
  5. Step 5: Solve for x
    x = 4,971,660,100/53,620
  6. Step 6: Final answer
    x = 92,720.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.