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Finding the Third Proportional to 71,203.13 and 155,705.63

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Solution

The third proportional to 71,203.13 and 155,705.63 is: 340,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.13 : 155,705.63 = 155,705.63 : x
  2. Step 2: Convert to fraction form
    71,203.13/155,705.63 = 155,705.63/x
  3. Step 3: Cross multiply
    71,203.13x = 155,705.63 × 155,705.63
  4. Step 4: Simplify right side
    71,203.13x = 24,244,241,656.64
  5. Step 5: Solve for x
    x = 24,244,241,656.64/71,203.13
  6. Step 6: Final answer
    x = 340,494.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.