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Finding the Third Proportional to 56,505.09 and 85,330.97

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Solution

The third proportional to 56,505.09 and 85,330.97 is: 128,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,505.09 : 85,330.97 = 85,330.97 : x
  2. Step 2: Convert to fraction form
    56,505.09/85,330.97 = 85,330.97/x
  3. Step 3: Cross multiply
    56,505.09x = 85,330.97 × 85,330.97
  4. Step 4: Simplify right side
    56,505.09x = 7,281,374,227.81
  5. Step 5: Solve for x
    x = 7,281,374,227.81/56,505.09
  6. Step 6: Final answer
    x = 128,862.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.