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Finding the Third Proportional to 47,712 and 103,645.50

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Solution

The third proportional to 47,712 and 103,645.50 is: 225,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 103,645.50 = 103,645.50 : x
  2. Step 2: Convert to fraction form
    47,712/103,645.50 = 103,645.50/x
  3. Step 3: Cross multiply
    47,712x = 103,645.50 × 103,645.50
  4. Step 4: Simplify right side
    47,712x = 10,742,389,670.25
  5. Step 5: Solve for x
    x = 10,742,389,670.25/47,712
  6. Step 6: Final answer
    x = 225,150.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.