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Finding the Third Proportional to 101,594 and 149,444

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Solution

The third proportional to 101,594 and 149,444 is: 219,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594 : 149,444 = 149,444 : x
  2. Step 2: Convert to fraction form
    101,594/149,444 = 149,444/x
  3. Step 3: Cross multiply
    101,594x = 149,444 × 149,444
  4. Step 4: Simplify right side
    101,594x = 22,333,509,136
  5. Step 5: Solve for x
    x = 22,333,509,136/101,594
  6. Step 6: Final answer
    x = 219,830.99

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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.