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Finding the Third Proportional to 53,730 and 80,298

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Solution

The third proportional to 53,730 and 80,298 is: 120,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730 : 80,298 = 80,298 : x
  2. Step 2: Convert to fraction form
    53,730/80,298 = 80,298/x
  3. Step 3: Cross multiply
    53,730x = 80,298 × 80,298
  4. Step 4: Simplify right side
    53,730x = 6,447,768,804
  5. Step 5: Solve for x
    x = 6,447,768,804/53,730
  6. Step 6: Final answer
    x = 120,003.14

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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.