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Finding the Third Proportional to 85,534 and 134,355

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Solution

The third proportional to 85,534 and 134,355 is: 211,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534 : 134,355 = 134,355 : x
  2. Step 2: Convert to fraction form
    85,534/134,355 = 134,355/x
  3. Step 3: Cross multiply
    85,534x = 134,355 × 134,355
  4. Step 4: Simplify right side
    85,534x = 18,051,266,025
  5. Step 5: Solve for x
    x = 18,051,266,025/85,534
  6. Step 6: Final answer
    x = 211,042.00

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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.