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Finding the Third Proportional to 113,010 and 165,188.25

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Solution

The third proportional to 113,010 and 165,188.25 is: 241,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,010 : 165,188.25 = 165,188.25 : x
  2. Step 2: Convert to fraction form
    113,010/165,188.25 = 165,188.25/x
  3. Step 3: Cross multiply
    113,010x = 165,188.25 × 165,188.25
  4. Step 4: Simplify right side
    113,010x = 27,287,157,938.06
  5. Step 5: Solve for x
    x = 27,287,157,938.06/113,010
  6. Step 6: Final answer
    x = 241,457.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.