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Finding the Third Proportional to 67,486.50 and 145,341

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Solution

The third proportional to 67,486.50 and 145,341 is: 313,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,486.50 : 145,341 = 145,341 : x
  2. Step 2: Convert to fraction form
    67,486.50/145,341 = 145,341/x
  3. Step 3: Cross multiply
    67,486.50x = 145,341 × 145,341
  4. Step 4: Simplify right side
    67,486.50x = 21,124,006,281
  5. Step 5: Solve for x
    x = 21,124,006,281/67,486.50
  6. Step 6: Final answer
    x = 313,010.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.