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Finding the Third Proportional to 72,246 and 107,604

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Solution

The third proportional to 72,246 and 107,604 is: 160,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,246 : 107,604 = 107,604 : x
  2. Step 2: Convert to fraction form
    72,246/107,604 = 107,604/x
  3. Step 3: Cross multiply
    72,246x = 107,604 × 107,604
  4. Step 4: Simplify right side
    72,246x = 11,578,620,816
  5. Step 5: Solve for x
    x = 11,578,620,816/72,246
  6. Step 6: Final answer
    x = 160,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.