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Finding the Third Proportional to 35,754 and 78,420

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Solution

The third proportional to 35,754 and 78,420 is: 172,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754 : 78,420 = 78,420 : x
  2. Step 2: Convert to fraction form
    35,754/78,420 = 78,420/x
  3. Step 3: Cross multiply
    35,754x = 78,420 × 78,420
  4. Step 4: Simplify right side
    35,754x = 6,149,696,400
  5. Step 5: Solve for x
    x = 6,149,696,400/35,754
  6. Step 6: Final answer
    x = 172,000.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.