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Finding the Third Proportional to 94,010 and 143,992

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Solution

The third proportional to 94,010 and 143,992 is: 220,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,010 : 143,992 = 143,992 : x
  2. Step 2: Convert to fraction form
    94,010/143,992 = 143,992/x
  3. Step 3: Cross multiply
    94,010x = 143,992 × 143,992
  4. Step 4: Simplify right side
    94,010x = 20,733,696,064
  5. Step 5: Solve for x
    x = 20,733,696,064/94,010
  6. Step 6: Final answer
    x = 220,547.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.