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Finding the Third Proportional to 53,451 and 112,909.50

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Solution

The third proportional to 53,451 and 112,909.50 is: 238,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451 : 112,909.50 = 112,909.50 : x
  2. Step 2: Convert to fraction form
    53,451/112,909.50 = 112,909.50/x
  3. Step 3: Cross multiply
    53,451x = 112,909.50 × 112,909.50
  4. Step 4: Simplify right side
    53,451x = 12,748,555,190.25
  5. Step 5: Solve for x
    x = 12,748,555,190.25/53,451
  6. Step 6: Final answer
    x = 238,509.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.