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Finding the Third Proportional to 97,370 and 147,886

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Solution

The third proportional to 97,370 and 147,886 is: 224,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370 : 147,886 = 147,886 : x
  2. Step 2: Convert to fraction form
    97,370/147,886 = 147,886/x
  3. Step 3: Cross multiply
    97,370x = 147,886 × 147,886
  4. Step 4: Simplify right side
    97,370x = 21,870,268,996
  5. Step 5: Solve for x
    x = 21,870,268,996/97,370
  6. Step 6: Final answer
    x = 224,609.93

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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.