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Finding the Third Proportional to 124,713.56 and 190,184.06

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Solution

The third proportional to 124,713.56 and 190,184.06 is: 290,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,713.56 : 190,184.06 = 190,184.06 : x
  2. Step 2: Convert to fraction form
    124,713.56/190,184.06 = 190,184.06/x
  3. Step 3: Cross multiply
    124,713.56x = 190,184.06 × 190,184.06
  4. Step 4: Simplify right side
    124,713.56x = 36,169,977,629.00
  5. Step 5: Solve for x
    x = 36,169,977,629.00/124,713.56
  6. Step 6: Final answer
    x = 290,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.