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Finding the Third Proportional to 133,587 and 191,355.75

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Solution

The third proportional to 133,587 and 191,355.75 is: 274,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,587 : 191,355.75 = 191,355.75 : x
  2. Step 2: Convert to fraction form
    133,587/191,355.75 = 191,355.75/x
  3. Step 3: Cross multiply
    133,587x = 191,355.75 × 191,355.75
  4. Step 4: Simplify right side
    133,587x = 36,617,023,058.06
  5. Step 5: Solve for x
    x = 36,617,023,058.06/133,587
  6. Step 6: Final answer
    x = 274,106.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.