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Finding the Third Proportional to 72,464 and 149,584

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Solution

The third proportional to 72,464 and 149,584 is: 308,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,464 : 149,584 = 149,584 : x
  2. Step 2: Convert to fraction form
    72,464/149,584 = 149,584/x
  3. Step 3: Cross multiply
    72,464x = 149,584 × 149,584
  4. Step 4: Simplify right side
    72,464x = 22,375,373,056
  5. Step 5: Solve for x
    x = 22,375,373,056/72,464
  6. Step 6: Final answer
    x = 308,779.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.