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Finding the Third Proportional to 43,010 and 101,193.75

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Solution

The third proportional to 43,010 and 101,193.75 is: 238,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,010 : 101,193.75 = 101,193.75 : x
  2. Step 2: Convert to fraction form
    43,010/101,193.75 = 101,193.75/x
  3. Step 3: Cross multiply
    43,010x = 101,193.75 × 101,193.75
  4. Step 4: Simplify right side
    43,010x = 10,240,175,039.06
  5. Step 5: Solve for x
    x = 10,240,175,039.06/43,010
  6. Step 6: Final answer
    x = 238,088.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.