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Finding the Third Proportional to 85,356 and 114,206

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Solution

The third proportional to 85,356 and 114,206 is: 152,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,356 : 114,206 = 114,206 : x
  2. Step 2: Convert to fraction form
    85,356/114,206 = 114,206/x
  3. Step 3: Cross multiply
    85,356x = 114,206 × 114,206
  4. Step 4: Simplify right side
    85,356x = 13,043,010,436
  5. Step 5: Solve for x
    x = 13,043,010,436/85,356
  6. Step 6: Final answer
    x = 152,807.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.