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Finding the Third Proportional to 100,458 and 151,706

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Solution

The third proportional to 100,458 and 151,706 is: 229,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458 : 151,706 = 151,706 : x
  2. Step 2: Convert to fraction form
    100,458/151,706 = 151,706/x
  3. Step 3: Cross multiply
    100,458x = 151,706 × 151,706
  4. Step 4: Simplify right side
    100,458x = 23,014,710,436
  5. Step 5: Solve for x
    x = 23,014,710,436/100,458
  6. Step 6: Final answer
    x = 229,097.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.