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Finding the Third Proportional to 84,095 and 133,729

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Solution

The third proportional to 84,095 and 133,729 is: 212,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,095 : 133,729 = 133,729 : x
  2. Step 2: Convert to fraction form
    84,095/133,729 = 133,729/x
  3. Step 3: Cross multiply
    84,095x = 133,729 × 133,729
  4. Step 4: Simplify right side
    84,095x = 17,883,445,441
  5. Step 5: Solve for x
    x = 17,883,445,441/84,095
  6. Step 6: Final answer
    x = 212,657.65

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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.