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Finding the Third Proportional to 85,107 and 134,700.50

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Solution

The third proportional to 85,107 and 134,700.50 is: 213,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107 : 134,700.50 = 134,700.50 : x
  2. Step 2: Convert to fraction form
    85,107/134,700.50 = 134,700.50/x
  3. Step 3: Cross multiply
    85,107x = 134,700.50 × 134,700.50
  4. Step 4: Simplify right side
    85,107x = 18,144,224,700.25
  5. Step 5: Solve for x
    x = 18,144,224,700.25/85,107
  6. Step 6: Final answer
    x = 213,193.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.