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Finding the Third Proportional to 109,948 and 149,358

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Solution

The third proportional to 109,948 and 149,358 is: 202,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948 : 149,358 = 149,358 : x
  2. Step 2: Convert to fraction form
    109,948/149,358 = 149,358/x
  3. Step 3: Cross multiply
    109,948x = 149,358 × 149,358
  4. Step 4: Simplify right side
    109,948x = 22,307,812,164
  5. Step 5: Solve for x
    x = 22,307,812,164/109,948
  6. Step 6: Final answer
    x = 202,894.21

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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.