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Finding the Third Proportional to 106,312 and 144,444

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Solution

The third proportional to 106,312 and 144,444 is: 196,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312 : 144,444 = 144,444 : x
  2. Step 2: Convert to fraction form
    106,312/144,444 = 144,444/x
  3. Step 3: Cross multiply
    106,312x = 144,444 × 144,444
  4. Step 4: Simplify right side
    106,312x = 20,864,069,136
  5. Step 5: Solve for x
    x = 20,864,069,136/106,312
  6. Step 6: Final answer
    x = 196,253.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.