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Finding the Third Proportional to 113,870 and 162,210

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Solution

The third proportional to 113,870 and 162,210 is: 231,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870 : 162,210 = 162,210 : x
  2. Step 2: Convert to fraction form
    113,870/162,210 = 162,210/x
  3. Step 3: Cross multiply
    113,870x = 162,210 × 162,210
  4. Step 4: Simplify right side
    113,870x = 26,312,084,100
  5. Step 5: Solve for x
    x = 26,312,084,100/113,870
  6. Step 6: Final answer
    x = 231,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.