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Finding the Third Proportional to 72,444 and 106,498

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Solution

The third proportional to 72,444 and 106,498 is: 156,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444 : 106,498 = 106,498 : x
  2. Step 2: Convert to fraction form
    72,444/106,498 = 106,498/x
  3. Step 3: Cross multiply
    72,444x = 106,498 × 106,498
  4. Step 4: Simplify right side
    72,444x = 11,341,824,004
  5. Step 5: Solve for x
    x = 11,341,824,004/72,444
  6. Step 6: Final answer
    x = 156,559.88

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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.