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Finding the Third Proportional to 121,130 and 169,739.50

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Solution

The third proportional to 121,130 and 169,739.50 is: 237,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,130 : 169,739.50 = 169,739.50 : x
  2. Step 2: Convert to fraction form
    121,130/169,739.50 = 169,739.50/x
  3. Step 3: Cross multiply
    121,130x = 169,739.50 × 169,739.50
  4. Step 4: Simplify right side
    121,130x = 28,811,497,860.25
  5. Step 5: Solve for x
    x = 28,811,497,860.25/121,130
  6. Step 6: Final answer
    x = 237,856.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.