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Finding the Third Proportional to 92,426 and 143,055

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Solution

The third proportional to 92,426 and 143,055 is: 221,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,426 : 143,055 = 143,055 : x
  2. Step 2: Convert to fraction form
    92,426/143,055 = 143,055/x
  3. Step 3: Cross multiply
    92,426x = 143,055 × 143,055
  4. Step 4: Simplify right side
    92,426x = 20,464,733,025
  5. Step 5: Solve for x
    x = 20,464,733,025/92,426
  6. Step 6: Final answer
    x = 221,417.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.