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Finding the Third Proportional to 70,828.50 and 144,937.50

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Solution

The third proportional to 70,828.50 and 144,937.50 is: 296,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,828.50 : 144,937.50 = 144,937.50 : x
  2. Step 2: Convert to fraction form
    70,828.50/144,937.50 = 144,937.50/x
  3. Step 3: Cross multiply
    70,828.50x = 144,937.50 × 144,937.50
  4. Step 4: Simplify right side
    70,828.50x = 21,006,878,906.25
  5. Step 5: Solve for x
    x = 21,006,878,906.25/70,828.50
  6. Step 6: Final answer
    x = 296,587.94

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.