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Finding the Third Proportional to 119,027 and 157,966.50

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Solution

The third proportional to 119,027 and 157,966.50 is: 209,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,027 : 157,966.50 = 157,966.50 : x
  2. Step 2: Convert to fraction form
    119,027/157,966.50 = 157,966.50/x
  3. Step 3: Cross multiply
    119,027x = 157,966.50 × 157,966.50
  4. Step 4: Simplify right side
    119,027x = 24,953,415,122.25
  5. Step 5: Solve for x
    x = 24,953,415,122.25/119,027
  6. Step 6: Final answer
    x = 209,645.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.