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Finding the Third Proportional to 133,054 and 157,657

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Solution

The third proportional to 133,054 and 157,657 is: 186,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054 : 157,657 = 157,657 : x
  2. Step 2: Convert to fraction form
    133,054/157,657 = 157,657/x
  3. Step 3: Cross multiply
    133,054x = 157,657 × 157,657
  4. Step 4: Simplify right side
    133,054x = 24,855,729,649
  5. Step 5: Solve for x
    x = 24,855,729,649/133,054
  6. Step 6: Final answer
    x = 186,809.34

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.