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Finding the Third Proportional to 85,440 and 134,221.50

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Solution

The third proportional to 85,440 and 134,221.50 is: 210,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,440 : 134,221.50 = 134,221.50 : x
  2. Step 2: Convert to fraction form
    85,440/134,221.50 = 134,221.50/x
  3. Step 3: Cross multiply
    85,440x = 134,221.50 × 134,221.50
  4. Step 4: Simplify right side
    85,440x = 18,015,411,062.25
  5. Step 5: Solve for x
    x = 18,015,411,062.25/85,440
  6. Step 6: Final answer
    x = 210,854.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.