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Finding the Third Proportional to 94,498 and 152,260

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Solution

The third proportional to 94,498 and 152,260 is: 245,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,498 : 152,260 = 152,260 : x
  2. Step 2: Convert to fraction form
    94,498/152,260 = 152,260/x
  3. Step 3: Cross multiply
    94,498x = 152,260 × 152,260
  4. Step 4: Simplify right side
    94,498x = 23,183,107,600
  5. Step 5: Solve for x
    x = 23,183,107,600/94,498
  6. Step 6: Final answer
    x = 245,329.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.