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Finding the Third Proportional to 85,403 and 136,433

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Solution

The third proportional to 85,403 and 136,433 is: 217,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,403 : 136,433 = 136,433 : x
  2. Step 2: Convert to fraction form
    85,403/136,433 = 136,433/x
  3. Step 3: Cross multiply
    85,403x = 136,433 × 136,433
  4. Step 4: Simplify right side
    85,403x = 18,613,963,489
  5. Step 5: Solve for x
    x = 18,613,963,489/85,403
  6. Step 6: Final answer
    x = 217,954.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.