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Finding the Third Proportional to 124,376.77 and 197,261.58

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Solution

The third proportional to 124,376.77 and 197,261.58 is: 312,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,376.77 : 197,261.58 = 197,261.58 : x
  2. Step 2: Convert to fraction form
    124,376.77/197,261.58 = 197,261.58/x
  3. Step 3: Cross multiply
    124,376.77x = 197,261.58 × 197,261.58
  4. Step 4: Simplify right side
    124,376.77x = 38,912,130,204.37
  5. Step 5: Solve for x
    x = 38,912,130,204.37/124,376.77
  6. Step 6: Final answer
    x = 312,856.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.