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Finding the Third Proportional to 102,368 and 149,632

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Solution

The third proportional to 102,368 and 149,632 is: 218,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368 : 149,632 = 149,632 : x
  2. Step 2: Convert to fraction form
    102,368/149,632 = 149,632/x
  3. Step 3: Cross multiply
    102,368x = 149,632 × 149,632
  4. Step 4: Simplify right side
    102,368x = 22,389,735,424
  5. Step 5: Solve for x
    x = 22,389,735,424/102,368
  6. Step 6: Final answer
    x = 218,718.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.