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Finding the Third Proportional to 124,098.75 and 174,848.63

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Solution

The third proportional to 124,098.75 and 174,848.63 is: 246,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,098.75 : 174,848.63 = 174,848.63 : x
  2. Step 2: Convert to fraction form
    124,098.75/174,848.63 = 174,848.63/x
  3. Step 3: Cross multiply
    124,098.75x = 174,848.63 × 174,848.63
  4. Step 4: Simplify right side
    124,098.75x = 30,572,041,664.39
  5. Step 5: Solve for x
    x = 30,572,041,664.39/124,098.75
  6. Step 6: Final answer
    x = 246,352.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.