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Finding the Third Proportional to 97,036 and 147,306

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Solution

The third proportional to 97,036 and 147,306 is: 223,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,036 : 147,306 = 147,306 : x
  2. Step 2: Convert to fraction form
    97,036/147,306 = 147,306/x
  3. Step 3: Cross multiply
    97,036x = 147,306 × 147,306
  4. Step 4: Simplify right side
    97,036x = 21,699,057,636
  5. Step 5: Solve for x
    x = 21,699,057,636/97,036
  6. Step 6: Final answer
    x = 223,618.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.