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Finding the Third Proportional to 113,054 and 179,960

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Solution

The third proportional to 113,054 and 179,960 is: 286,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,054 : 179,960 = 179,960 : x
  2. Step 2: Convert to fraction form
    113,054/179,960 = 179,960/x
  3. Step 3: Cross multiply
    113,054x = 179,960 × 179,960
  4. Step 4: Simplify right side
    113,054x = 32,385,601,600
  5. Step 5: Solve for x
    x = 32,385,601,600/113,054
  6. Step 6: Final answer
    x = 286,461.35

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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.