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Finding the Third Proportional to 84,734 and 124,473

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Solution

The third proportional to 84,734 and 124,473 is: 182,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734 : 124,473 = 124,473 : x
  2. Step 2: Convert to fraction form
    84,734/124,473 = 124,473/x
  3. Step 3: Cross multiply
    84,734x = 124,473 × 124,473
  4. Step 4: Simplify right side
    84,734x = 15,493,527,729
  5. Step 5: Solve for x
    x = 15,493,527,729/84,734
  6. Step 6: Final answer
    x = 182,849.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.