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Finding the Third Proportional to 70,356 and 149,938.50

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Solution

The third proportional to 70,356 and 149,938.50 is: 319,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,356 : 149,938.50 = 149,938.50 : x
  2. Step 2: Convert to fraction form
    70,356/149,938.50 = 149,938.50/x
  3. Step 3: Cross multiply
    70,356x = 149,938.50 × 149,938.50
  4. Step 4: Simplify right side
    70,356x = 22,481,553,782.25
  5. Step 5: Solve for x
    x = 22,481,553,782.25/70,356
  6. Step 6: Final answer
    x = 319,539.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.