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Finding the Third Proportional to 104,312 and 149,480

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Solution

The third proportional to 104,312 and 149,480 is: 214,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,312 : 149,480 = 149,480 : x
  2. Step 2: Convert to fraction form
    104,312/149,480 = 149,480/x
  3. Step 3: Cross multiply
    104,312x = 149,480 × 149,480
  4. Step 4: Simplify right side
    104,312x = 22,344,270,400
  5. Step 5: Solve for x
    x = 22,344,270,400/104,312
  6. Step 6: Final answer
    x = 214,206.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.