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Finding the Third Proportional to 114,490 and 154,239

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Solution

The third proportional to 114,490 and 154,239 is: 207,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,490 : 154,239 = 154,239 : x
  2. Step 2: Convert to fraction form
    114,490/154,239 = 154,239/x
  3. Step 3: Cross multiply
    114,490x = 154,239 × 154,239
  4. Step 4: Simplify right side
    114,490x = 23,789,669,121
  5. Step 5: Solve for x
    x = 23,789,669,121/114,490
  6. Step 6: Final answer
    x = 207,788.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.