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Finding the Third Proportional to 70,503.75 and 152,244.56

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Solution

The third proportional to 70,503.75 and 152,244.56 is: 328,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503.75 : 152,244.56 = 152,244.56 : x
  2. Step 2: Convert to fraction form
    70,503.75/152,244.56 = 152,244.56/x
  3. Step 3: Cross multiply
    70,503.75x = 152,244.56 × 152,244.56
  4. Step 4: Simplify right side
    70,503.75x = 23,178,406,810.82
  5. Step 5: Solve for x
    x = 23,178,406,810.82/70,503.75
  6. Step 6: Final answer
    x = 328,754.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.