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Finding the Third Proportional to 137,373.75 and 292,892.81

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Solution

The third proportional to 137,373.75 and 292,892.81 is: 624,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,373.75 : 292,892.81 = 292,892.81 : x
  2. Step 2: Convert to fraction form
    137,373.75/292,892.81 = 292,892.81/x
  3. Step 3: Cross multiply
    137,373.75x = 292,892.81 × 292,892.81
  4. Step 4: Simplify right side
    137,373.75x = 85,786,199,614.16
  5. Step 5: Solve for x
    x = 85,786,199,614.16/137,373.75
  6. Step 6: Final answer
    x = 624,473.01

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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.