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Finding the Third Proportional to 125,014.50 and 269,712

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Solution

The third proportional to 125,014.50 and 269,712 is: 581,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,014.50 : 269,712 = 269,712 : x
  2. Step 2: Convert to fraction form
    125,014.50/269,712 = 269,712/x
  3. Step 3: Cross multiply
    125,014.50x = 269,712 × 269,712
  4. Step 4: Simplify right side
    125,014.50x = 72,744,562,944
  5. Step 5: Solve for x
    x = 72,744,562,944/125,014.50
  6. Step 6: Final answer
    x = 581,889.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.